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Which of the following is equal to the expression below

Which of the following is equal to the expression below-example-1
User Tony Kh
by
5.9k points

2 Answers

3 votes

Answer:

D

Explanation:

-6(2)=-12

5^-12

can't have negative power

1/5^12

User XIsra
by
5.5k points
2 votes

Answer: OPTION D

Explanation:

We need to remember that, according to the Negative exponents rule:


a^(-n)=(1)/(a^n)

Then, we can rewrite the expression in the following form:


(5^(-6))^2=((1)/(5^6))^2

We also need to remember the Power of a power property, which states that:


(a^n)^m=a^((nm))

Then, applying this property, we get:


(1)/(5^((6*2)))=(1)/(5^(12))

This matches with the Option D

User KDN
by
6.1k points