The expression that is equivalent to (5⁻²)⁻⁵ × 5⁴ is gotten to be in the given form; C: 1/5⁶
How to solve exponents problem?
We are given the expression;
(5⁻²)⁻⁵ × 5⁴
Now, according to law of exponents, we know that;
(y²)³ is same as (y)²*³
Thus;
(5⁻²)⁻⁵ × 5⁴ = [5⁽⁻² * ⁵)] × 5⁴
⇒ 5⁻¹⁰ × 5⁴
Similar to the law of exponents used above, we have;
5⁽⁻¹⁰ ⁺ ⁴⁾ = 5⁻⁶ = 1/5⁶
Read more about Exponents at; https://brainly.com/question/11761858
