Simplify the expression so there’s only one positive power for the base, -5.
Answers
Given:
The expression is
[tex](-5)^7\div (-5)^2[/tex]
To find:
The simplified form of the given expression so there is only one positive power for the baser -5.
Solution:
We have,
[tex](-5)^7\div (-5)^2[/tex]
[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]
Using the properties of exponents, the given expression can be written as
[tex]=(-5)^{7-2}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=(-5)^{5}[/tex]
Here, the base is -5 and the exponent is 5.
Therefore, the correct option is C.
Related Questions
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?
Answers
Answer:
The correct answer is 11/2.
Answer:2 hours and 30 minutes
Step-by-step explanation:
they drive 60 miles in a hour.
Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 pint of ice cream, how many guests can Taylor serve?
Answers
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15
pls helppppppppppp
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answers
Answer:
okkk
Step-by-step explanation:
Answer:
I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!
Step-by-step explanation:
Select the correct answer.
In which table does y vary directly with x?
Answers
Answer:
Option C.
Step-by-step explanation:
y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as
y = 26x
A hot air balloon is traveling at a altitude of 2400 feet. It begins to descend at a rate of 75 per minute. What is an expression that represents the rate of descent for the hot air balloon
Answers
Answer:
y=-75x+2400
Step-by-step explanation:
y is the height
-75 is the rate of change so you put that before your x
2400 is your starting value/y intercept
not very good explanation but hope this helps
Write the equation of the line pleaseeee
Answers
Answer:
y = 2/3x -1
Step-by-step explanation:
y intersect is -1 as that's where the line passes the y axis
the slope can be found by finding two points and using the slope formula (y-y)/(x-x)
(-3, 11) a solution to the systems of equations: x – 3y = -36 and 3x + 4y = 48
true or false
Answers
Answer:
TRUE and FALSE (please look at step-by-step)
Step-by-step explanation:
How to know if it's true or false, you just simply plug in the given numbers to the x and y values.
x = -3
y = 11
for the x - 3y = -36 equation:
-3 -3(11) = -36
-3 - 33 = -36
This equation is true.
for the 3x + 4y = 48 equation:
3(-3) + 4(11) = 48
-9 + 44 = 35
This equation is false.
Use exponents to write each expression.
6 x 6 x 6 =
Answers
Answer:
6×6×6 = 6³
Step-by-step explanation:
Answer:
6 x 6 x 6 = 216 I believe that's right
On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive
Answers
Answer:
U didn't say how many miles Rita drove.
estimate and find the quotion in 281 divided by 9
Answers
Answer is 30
Does anyone know how to work this out
Answers
blue cubes = 3x
green cubes = 15x
to make this simpler let's just say x = 1
so 1 yellow cube 3 blue cubes and 15 green cubes
so there are 19 cubes in total
1 of them are yellow
so she has a 1/19 chance of picking a yellow cube
Answer:
1/19
Step-by-step explanation:
y = number of yellow cubes
3y = number of blue cubes
5(3y) = number of green cubes
total number of cubes = 19
P(yellow) = 1/19
Find the value of x.
Answers
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers
Answers
8+5=13
8-5=3
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
Answers
MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing
Answers
A couplet can have an open sentence which is the deciding and the closing sentence being the acting.
A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?
Answers
Answer:
what subjet is this
Step-by-step explanation:
х²+хy-2y²=0
ху+x-y=1
Answers
Answer:
I think if you use the differentiate formula then it will work
y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )
Answers
Answer:
The answer is 5.
Step-by-step explanation:
Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.
Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations.
Answers
Answer:
8 Possible Combinations
Step-by-step explanation:
Trust me my guy
Answer:
8
Step-by-step explanation:
help me solve please
Answers
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
Find each function value f(-7) if f(x) = 3x + 6
Answers
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answers
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
PLSS PLS HELP ITS DUE SOON IM DESPERATE
Answers
Answer:
The answer is A
Step-by-step explanation:
Use the form y = mx + b for your answer. Since 32 is the starting point, it will represent b. b represents the y intercept. Since the temperature decreases every hour, the second part of the equation would -2h. So, if you put it together, the final equation is y = -2h + 32.
Question 2
5x + 2y = 4
9x + 2y = 12
Answers
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
What fraction goes in the box to make it correct?
4/11×_=1
Answers
Step-by-step explanation:
[tex] \frac{11}{4} [/tex]
[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]
if it's helpful ❤❤❤
THANK YOU.
Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8
Answers
Answer:
(1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-4x + 9y = 14
12x - 10y = -8
Step 2: Rewrite Systems
-4x + 9y = 14
Multiply everything by 3: -12x + 27y = 42Step 3: Redefine Systems
-12x + 27y = 42
12x - 10y = -8
Step 4: Solve for y
Elimination
Combine 2 equations: 17y = 34Divide 26 on both sides: y = 2Step 5: Solve for x
Define equation: 12x - 10y = -8Substitute in y: 12x - 10(2) = -8Multiply: 12x - 20 = -8Isolate x term: 12x = 12Isolate x: x = 1Step-by-step explanation:
HERE,
two equation are,
●-4x+9y=14••••••••••••(equation I)
●12x-10y=-8•••••••••••(equation II)
First multiplying 3 in equation I
we get,
[tex]\bold{3×(-4x+9y=14) }[/tex]
=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)
Then,
we combine the equationii and equation III.
we get that,
[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]
[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]
Then,
put the value of y in equation II.
WE get,
[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]
So,
solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)
Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.
Answers
Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
To learn more about the triangle;
https://brainly.com/question/2773823
#SPJ2
Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.
Answers
Answer:
126
Step-by-step explanation:
In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.
(((x / 42) * 8) + 10) = 34 ... subtract 10 from both sides
((x / 42) * 8) = 24 ... divide both sides by 8
(x / 42) = 3 ... multiply both sides by 42
x = 126
Finally, we can see that the initial value was 126
Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74
Answers
Answer:
36+14+24=74
Step-by-step explanation:
How i figured it out is if you add 36+14 that equals 50 and 50+24=74
that is your answer.
hope this helps;)
Step by step explanation
Answers
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
