Write the product as a single power. 6^(5) * 6^(2) * 6^(5)

Answers

Answer 1

Answer:

6^12

Step-by-step explanation:

add up all the exponents

Answer 2

[tex]\displaystyle\bf \boxed{a^m\cdot a^n=a^{m+n}}\\\\6^5\cdot 6^2\cdot6^5=6^{5+2+5}=\boxed{6^{12} }[/tex]


Related Questions

Factor X squared minus 2X -80

Answers

Answer:

(x - 10)(x + 8)

Step-by-step explanation:

x² - 2x - 80

Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)

The factors are - 10 and + 8 , since

- 10 × 8 = - 80 and - 10 + 8 = - 2 , then

x² - 2x - 80 = (x - 10)(x + 8)

A= 12b1+b2h ; solve for b1

Answers

Answer:

b1 = 2A/h – b2

Step-by-step explanation:

30PTS PLEASE I NEED HELP Factor completely: 64y^3 -729z^3

Answers

Answer:  (4y-9z)( 16y^2 + 36yz + 81z^2 )

=======================================================

Explanation:

We'll use the difference of cubes factoring rule

a^3 - b^3 = (a-b)(a^2+ab+b^2)

In this case,

a^3 = 64y^3 which leads to a = 4yb^3 = 729z^3 which leads to b = 9z

So,

a^3 - b^3 = (a-b)(a^2+ab+b^2)

64y^3 - 729z^3 = (4y-9z)( (4y)^2 + (4y)(9z) + (9z)^2 )

64y^3 - 729z^3 = (4y-9z)( 16y^2 + 36yz + 81z^2 )

Likes s and t are perpendicular if the slope of line s is 5 what is the slope of line t?

Answers

Answer:

Gradient of line t is -1/5

Step-by-step explanation:

[tex]{ \sf{m _{s} \times m _{t} = - 1}} \\ { \sf{5 \times m _{t} = - 1 }} \\ { \sf{m _{t} = - \frac{1}{5} }}[/tex]

i think the answer is: -5

Because they are perpendicular one will be (+) while the other is (-).

The formula to get the answer is: y=mx+b
Fill in the slope (m)
Fill in the y intercept (b)

A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound

Answers

Answer:

1,300 lb.

Step-by-step explanation:

V = 9 × 12 × 14.5 = 1566 ft³

1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.

There are 5 cocoa pods in a bag.
The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag.
The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag

Answers

Answer:

416 g

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{5}[/tex] = 398 ( multiply both sides by 5 )

sum of 5 pods = 1990 g

let x be the weight of the sixth pod , then

[tex]\frac{1990+x}{6}[/tex] = 401 ( multiply both sides by 6 )

1990 + x = 2406 ( subtract 1990 from both sides )

x = 416

That is the weight of the sixth pod is 416 g

A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much
money will he make, if he makes 22 deliveries in one shift. Create an equation to represent this
situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain
your solution.

Answers

Answer:50+(3x22)=116

Step-by-step explanation:

There are 45 pupils in a competition. 2/5 of the pupils are girls. How many boys are there in the competition?

Answers

Answer:

45 * 3/5 = 135/5 = 27

Step-by-step explanation:

45/5 = 9
9 x 2 = 18
45 - 18 = 27

There are 27 boys in the competition

Todd is putting new oak baseboard trim in his living room. He has one piece that is 12 1/2 ft long and another that is 8 2/3 ft long. How much trim does he have total?​

Answers

Answer:

21 1/6 ft

Step-by-step explanation:

Add the lengths together

12 1/2 + 8 2/3

Get a common denominator of 6

12 1/2 *3/3  + 8 2/3 *2/2

12 3/6 + 8 4/6

20 7/6

20 +6/6+1/6

21 1/6

What is an equation of the line that passes through the points (-2,8) and (1, -1)? ​

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 8 / 1 - (-2)

-9/3

= -3

y = -3x + b

-1 = -3(1) + b

-1 = -3 + b

2 = b

Please help explanation if possible

Answers

Answer:  2 goes in the box

The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing [tex]y \le 2[/tex]. So y can be 2 or it can be smaller than 2.

√4x+9 = 1-√2 giải phương trình

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

x = -4.7

Step-by-step explanation:

√4x+9 = 1-√2

2x + 9 = 1 - √2

2x = -8 - √2

2x / 2 =  -8 - √2 / 2

x = -4.7

Solve the equation.
3х - 6 = 6x - 9

Answers

Answer:

x=1

Step-by-step explanation:

3х - 6 = 6x - 9

Subtract 3x from each side

3х-3x - 6 = 6x-3x - 9

-6 = 3x-9

Add 9 to each side

-6+9 = 3x-9+9

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

Answer:

3x-6=6x-9

3x-6x=-9+6

-3x=-3

-3x÷-3=-3÷-3

x=1

I don’t get itttttttttt

Answers

Answer:

<1 = 65

Step-by-step explanation:

Exterior angle thm:

40 + 3x = 5x - 10

3x - 5x = -10 - 40

-2x = -50

x = 25

5x - 10

5(25) - 10

125 - 10

115

180 - 115

65

Answer:

65

Step-by-step explanation:

The sum of the measures of the angles of a triangle equals 180°.

3x + 40 + m<1 = 180

3x + m<1 = 140

<1 and the angle measuring 5x - 10 are supplementary angles, so the sum of their measure is 180°.

m<1 + 5x - 10 = 180

Solve for m<1 and substitute in equation above.

m<1 = 190 - 5x

3x + 190 - 5x = 140

-2x = -50

x = 25

m<1 = 190 - 5x

m<1 = 190 - 5(25)

m<1 = 190 - 125

m<1 = 65

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

16 degrees

Step-by-step explanation:

Tan(?) = perpendicular/base

Tan(?) = 13/46

?=arctan(13/46)=16

Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27

Answers

Answer:

The answer is (A), Pipa kept 3 stickers to herself

Step-by-step explanation:

Cole deposits $500 into his savings account. The bank pays him 2% interest on the amount he has in his account. What expression would you

use to find the total Cole has in his account?

Answers

Answer:

500*2%=10

500+10=510

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete

Answers

Answer: D i hope this helps

Step-by-step explanation:

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

b, y=1/4x since the rise/run is 1/4

The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?




A
x=−8 and x=−2

B
x=−6 and x=10

C
x=−4 and x=4

D
x=−2 and x=6

Answers

Answer:

x= -2   and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

x=6, y= 10  is one point

x=-2 and y = -6 is the other point

The intersection points of both the equations are the solutions

From the graph the points are

(6,10)(-2,-6)

Hence

x=-2 and x=6 are the solutions

Option D

Evaluate the piecewise function at the indicated values from the domain:

Answers

In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at [tex]x = 0[/tex]

We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:

[tex]f(x) = 1, 0 \leq x < 2[/tex]

Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003

Natalie and Lexi are recycling aluminum cans to earn money for camp. Natalie's barrel of cans weighs 115 lb., and Lexi's barrel of cans weighs 98 lb. If the barrels each weigh 8 lb. when empty, how many pounds of cans have they collected?

Answers

Answer:

197 pounds of cans

Step-by-step explanation:

Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:

115 - 8

= 107

98 - 8

= 90

Add these two weights together:

107 + 90

= 197

So, they collected 197 pounds of cans

Please help! Math question!

Answers

Answer:

n=4

Step-by-step explanation:

3n - (2+n) = 6

Distribute the minus sign

3n -2-n = 6

Combine like terms

2n-2 =6

Add 2 to each side

2n-2+2 = 6+2

2n = 8

Divide by 2

2n/2 = 8/2

n=4

If two lines represent the same line, then what is the nature of its solution?

Answers

Step-by-step explanation:

If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .

Answer:

Infinite

Step-by-step explanation:

Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.

Jackie is 8 years younger than her neighbor, Paula. The sum of their ages is 30. How old are Jackie and Paula?

Answers

Answer:

Jackie: 11

Paula: 19

Step-by-step explanation:

11+19 = 30

Which figure shows an example of symmetry?
A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanat:

Answer:

Option D

Step-by-step explanation:

Option D has the only figure whose mirror image is the exact same; Option A, B and C are not symmetrical because their mirror image is different.

the perimeter of a city rectangular park is 1428 feet. the length is 78 feet more than twice the width. Find the length and width of the park

Answers

Length = 502 ft
Width = 212 ft
Step-by-step explanation:
Recall the formula for the perimeter of a rectangle of length "L" and width "W":
Perimeter = 2 L + 2 W = 1428 ft
Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:
L = 2 W +78
so, 2 W = L -7 8
and now replace "2 W" with it equivalent "L - 78" in the first perimeter equation and solve for "L":
2 L + L - 78 = 1428
3 L = 1428 + 78
3 L = 1506
L = 1506/3
L = 502 ft
Then the width W can be obtained via:
2 W = L - 78
2 w = 502 -78
2 W = 424
w = 212 ft

Need answer asap algebra 2

Answers

Answer:

A

Step-by-step explanation:

The vertex is at (2,1) The two is the important feature to start with. That means that the point is 2 away from the y axis. That goes to the left to get to the y axis.

The get the mirror image of that 2, you have to go two to the right to get to the point that mirrors (0,4). The y value has to be the same as the y intercept. So x must be 4 and y needs to be 4.

The answer is (4,4)

In case you are interested, the graph (given below) is y = 0.75 (x - 2)^2 + 1

The y intercept is 0,4 and the vertex is 2,1

Simplify:

5x+2(3−2x)+7


x + 13

12x

9x + 13

Answers

Answer:

x+13

Step-by-step explanation:

The answer would be 1 or uh.. x+13

(8
10-7) - (-6.25 • 10-2)

Answers

Answer:

362

(8

10-7) - (-6.25 • 10-2)

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