Question

Which of the following is equal to the expression below

Answer 1

Answer:

D

Step-by-step explanation:

-6(2)=-12

5^-12

can't have negative power

1/5^12

Answer 2

Answer: OPTION D

Step-by-step explanation:

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

$a^{-n}=\frac{1}{a^n}$

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

$(5^{-6})^2=(\frac{1}{5^6})^2$

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:

$\frac{1}{5^{(6*2)}}=\frac{1}{5^{12}}$

This matches with the Option D