Question

5
fill in the blank 1 point
fill in the blank to complete the numerator and denominator for the problem below:
$\frac{1}{(5x)^{-3}}$
numerator: type your answer...
denominator: type your answer...
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Explanation:

Step1: Use negative exponent rule

A term with a negative exponent in the denominator can be moved to the numerator with a positive exponent: $a^{-n}=\frac{1}{a^n}$, so $\frac{1}{(5x)^{-3}}=(5x)^3$

Step2: Expand the positive exponent

Calculate the power: $(5x)^3=5^3 \cdot x^3=125x^3$, which is equivalent to $\frac{125x^3}{1}$

Answer:

Numerator: $125x^3$
Denominator: $1$