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Please help and explain

Please help and explain-example-1

2 Answers

5 votes

Answer: A,B

Explanation:


((3^2*3^-^2)/(3^3))^2

You can distribute the exponent.


(3^2^*^2*3^-^2^*^2)/(3^3^*^2) =(3^4*3^-^4)/(3^6)

or you can simplify first and then square.


((3^2*3^-^2)/(3^3))^2


((3^2^+^(^-^2^))/(3^3))^2


((3^0)/(3^3))^2=((1)/(3^3) )^2=((1)^2)/((3^3)^2)=(1)/(3^6)

User Abhinavkulkarni
by
8.3k points
6 votes

Answer:

A and B.

Explanation:

If we simplified this equation, we could begin by dealing with the exponents inside of the parenthesis. Remember, when multiplying you will need to add exponents.

This gives us:


((3^(2)*3^(-2) )/(3^(3)) )^(2) -->
((3^(0))/(3^(3)) )^(2)

Simplifying this gets us:


((1)/(3^(3)) )^(2)

Now, multiply the exponent outside of the parenthesis with the exponent inside resulting in:


(1)/(3^(6))

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Reasoning for answer A:

The step of multiplying the outside exponents with those inside was done first:


((3^(2)*3^(-2) )/(3^(3)) )^(2) -->
(3^(4)*3^(-4) )/(3^(6))

Therefore, we get answers A and B.

User SiSa
by
8.2k points

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