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

d

Explanation:

Answer 2

D.
`= (b)/(a)`

Explanation:

Given:

`(b^(-2))/(ab^(-3))`

Required:

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

SOLUTION:

`(b^(-2))/(ab^(-3))`

Recall the exponent rule =>
`(x^(a))/(x^(b)) = x^(a - b)`

Applying the exponent rule, we would have:

`(b^(-2 -(-3)))/(a)`

`= (b^(-2 + 3))/(a)`

`= (b^(1))/(a)`

`= (b)/(a)`

Thus, the equivalent expression of
`(b^(-2))/(ab^(-3))` =
`(b)/(a)`