Mathematics: Which of the following is equal to the expression below

Which of the following is equal to the expression

gamblenyny

10.03.2022

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

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clonetrooper099

22.12.2021

25, 24, 7

Step-by-step explanation:

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