Question

Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.

Answer 1

Answer:

$\frac{b}{a}$

Step-by-step explanation:

We want to find an expression that is equivalent to : $\frac{b^{-2}}{ab^{-3}}$

We need to use the following rule of exponents. $a^{n}=\frac{1}{a^{-n}}$

We apply this rule to send the $b^{-3}$in the denominator to the numerator to get:

$\frac{b^{-2}*b^{3}}{a}$

Recall also the product rule of exponents: $b^m\times b^n=b^{m+n}$

$\implies \frac{b^{-2}*b^{3}}{a}=\frac{b^{-2+3}}{a}$

We finally simplify to get:

$\frac{b^1}{a}=\frac{b}{a}$

Answer 2

Answer:

D

Step-by-step explanation:

I got it correct on edge