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.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answer 1

Answer:

D. $= \frac{b}{a}$

Step-by-step explanation:

Given:

$\frac{b^{-2}}{ab^{-3}}$

Required:

Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.

SOLUTION:

$\frac{b^{-2}}{ab^{-3}}$

Recall the exponent rule =>  $\frac{x^{a}}{x^{b}} = x^{a - b}$

Applying the exponent rule, we would have:

$\frac{b^{-2 -(-3)}}{a}$

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

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

$= \frac{b}{a}$

Thus, the equivalent expression of $\frac{b^{-2}}{ab^{-3}}$ = $\frac{b}{a}$

Answer 2

Answer:

d

Step-by-step explanation: