Yeah uh I have no idea how to do this.....
Use exponent laws to simplify this :
9√(a^-5 b^2)

The answer is 9b / a^5/2 I just don't know how so please show steps! Thank you

Answers

Answer 1

Answer:

9b /a^5/2

Step-by-step explanation:

9√(a^-5 b^2)

9 sqrt( a^ -5 b^2)

Rewriting sqrt as ^1/2

9 ( a^ -5 b^2)^1/2

9 ( a^ -5) ^1/2 ( b^2)^1/2

we know that  an exponent to an exponent means multiply

9 a^ (-5*1/2)  b^(2*1/2)

9 a^-5/2 b^1

9b a^ -5/2

We know that x^-y = 1/x^y

9b /a^5/2

Answer 2

Answer:

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted

if you try to solve using [tex]\sqrt{x}[/tex]    as as [tex]x^{\frac{1}{2} }[/tex]

then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] =  [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]

[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]

Step-by-step explanation:

[tex]9 \sqrt{(a^-5 b^2)}[/tex]

[tex]x^{-1} = \frac{1}{x}[/tex]

[tex]a^{-5} = \frac{1}{a^{5} }[/tex]

[tex]\sqrt{b^{2} } = b[/tex]

[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]


Related Questions

HELP PLEASEEEEEEE ASAP

Answers

Answer:

p=9

r=18

Step-by-step explanation:

the function y=-2(x-3)^2+4 shows the daily profit of a hot dog stand, where x is the price of a hot dog where x is the price of a hot dog

Answers

Step-by-step explanation:

the answer is in the image above

pls give me brainliest

Can anyone explain this to me?

Answers

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Insert parentheses where needed so that the result of the expression is 2.
45-25 ÷2x2+2

Answers

Answer:

(45 - 25) / 2 × (2 + 3)

Step-by-step explanation:

Given:

45 - 25/2 × 2 + 3

By trials:

(45 - 25) / (2 × 2) + 3

= 20/4 + 3

= 20/7

Another trial:

(45 - 25)/2 × (2 + 3)

= 20/2 × 5

= 20/10

= 2

The parentheses should be inserted like this

(45 - 25) / 2 × (2 + 3)

Marina correctly simplified the expression , assuming thatHer simplifed expression is below.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]

Answer:

7

Step-by-step explanation:

Solve the triangle. Round decimal answers to the nearest tenth.

pls pls help me answer

Answers

b =72 and c=73. it all. adds up to 180

Please help me answer this question it's part of my question that are due today please please help

Answers

Answer:

around 82.75

Step-by-step explanation:

Your credit card has a limit of $4,925. To maintain an acceptable debt ratio (50%), what is the maximum balance you can have on the card?

Answers

2462.5 half of 4925 50% is 1/2 mean divisions by 2

the product of 5 and x subtracted from the sum of y and 3

Answers

(y+3)-5x

Step-by-step explanation:

The product of 5 and x subtracted from the sum of y and 3 :

Product of 5 and x :

[tex]5 \times x = 5x[/tex]

Sum of y and 3 :

[tex]y + 3[/tex]

The product of 5 and x subtracted from the sum of y and 3 :

[tex](y + 3) - (5x)[/tex]

Answer:

y+3  - 5x

Step-by-step explanation:

the product of 5 and x

5x

the sum of y and 3

y+3

Subtract 5x from (y+3)

y+3  - 5x

The value of the expression 2x^2/x(100-15x) when x=5 is

Answers

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]

[tex]50 \div 25 \times 5[/tex]

[tex]50 \div 125[/tex]

[tex]2 \div 5[/tex]


Select the correct answer.
The product of two numbers, x and x+ 3, is 550. Which equation could be solved to find the value of the smaller number, x?

Answers

Answer:

C) x^2 + 3x

Step-by-step explanation:

The equation that could be solved to find the value of the smaller number, x is x^2  + 3x = 550

How to determine the equation?

The numbers are given as: x and x + 3

The product of these numbers is 550.

So, we have:

x * (x + 3) = 550

Expand

x^2  + 3x = 550

Hence, the equation that could be solved to find the value of the smaller number, x is x^2  + 3x = 550

Read more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ2

What does the question mean? For the blank

Answers

Answer:

Absolute value.

Step-by-step explanation:

We have the expression:

[tex]\displaystyle \sqrt{s^2}[/tex]

The square root and the square will cancel. This yields:

[tex]=|s|[/tex]

We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.

In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.

For instance, say s = -7, then:

[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]

However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.

please help, ill give 69 points <33

Answers

isee s yes why that look
The area of all three triangle answer is 36units^2

What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5

Answers

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

(URGENT PLEASE HELP)

The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?

a) 4
b) -6
c) 6
d) -4

Answers

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

Which algebraic expression is a difference with two terms?

A. 3y+1
B.-2y+5+3
C. 5y-7
D.5(y-6)

Answers

Answer:

1.

C. 5y -7 is an algebraic expression difference with two terms.

Help


I really need help pls

Answers

Answer

Mandisa uses more balloon per animal.

Amira and Mandisa made the same amount of balloon animals.

Explanation

Mandisa uses 5 balloons per animal.

You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.

Amira and Mandisa made the same amount of balloon animals.

Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.

If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.

Which shows the equation below written in the form ax2 + bx+c = 0?
x*2+7x+ 9 = 3

Answers

Hi!

x² + 7x + 9 = 3

x² + 7x + 9 - 3 = 0

+ 7x + 6 = 0

Answer:

x^2+7x+ 6 = 0

Step-by-step explanation:

x^2+7x+ 9 = 3

Subtract 3 from each side

x^2+7x+ 9-3 = 3-3

x^2+7x+ 6 = 0

Give the order of symmetry from the fig 3
a)2
b)3
c)6
d)4

Answers

the order of symmetry is three as there are three of each repeated shape

A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.

Answers

Height of parallelogram =12cm

Find the value of the expression 8x^3 if x= -1

Answers

Answer:

- 8

Step-by-step explanation:

Substitute x = - 1 into the expression , that is

8x³

= 8(- 1)³ = 8(- 1) = - 8

Percentage change


….

Answers

Answer:

80%

Step-by-step explanation:

Change is (45-25)/25*100=(20/25)*100=80%

the table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. find equivalent ratios when the number of books ordered is 1,2, and 3. write them as ordered pairs in the form (x-coordinate, y-coordinate). starting from the origin explain how to plot three equivalent ratios on a coordinate grid.

Answers

Answer:

Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...

what is the 13mm = to

Answers

About 1.3 cm or it could be 1.3 cm

Triangle ABC has vertices A(0, 2), B(5, 4), and C(5,0). Triangle A'B'C'has
corresponding vertices A'(-5, -1), B'(0, 1), and C'(0, -3). Which of the following
describes a translation that would produce triangle A'B'C' from the pre-image of
triangle ABC?
A) To the left five units, up three units.
B) To the left five units, down three units.
C) To the right five units, up three units.
D) To the right five units, down three units.

Answers

Answer:

B) To the left five units, down three units

Answer:

( B ) To the left five units, down three units.

Find the coefficient of x^4 in the expansion of
(2x+1)^12

Answers

Answer:

7920

Step-by-step explanation:

you can use the binomial theorem obviously but you can also use symbolabs or wolframalpha and just solve it like that.

Please help me with this question.

Answers

I believe this question is to do with bounds so the LB (lower bound) of 56= 55.5 the LB of 9.2= 9.15
LB= 55.5/9.15= 6.06557377

Need help ASAP !!! Am I correct? Just checking….

Answers

Answer:

Yes you are

Step-by-step explanation:

If you multiply the first equation by 3 , y becomes 3y and so you can eliminate from there.

(a) 88.83 is what percent of 21?

(b) 25.83 is 52.5% of what number?


Thanks!!!

Answers

A is 4.23% of 21
B is 0.492

[tex]\sqrt{x^{2} +2x+2\\}[/tex]

Answers

Answer:

[tex]{ \tt{ \sqrt{ {x}^{2} } + 2x + 2}} \\ { \tt{ = x + 2x + 2}} \\ = { \tt{3x + 2}}[/tex]

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