Question

A^2b^-3/ a^-4b^2 = ?

Answer 1

The anwser is D.

Explanation:

Answer 2

The answer is
`(a^(6))/(b^(5))`

The expression is:
`( a^(2) b^(-3) )/( a^(-4) b^(2) )`

Using the rule:
`( x^(a) )/( x^(b) )= x^(a-b)`, we can rewrite the expression:
`( a^(2) b^(-3) )/( a^(-4) b^(2) )=a^(2-(-4))b^(-3-2)= a^(2+4) b^(-5) =a^(6) b^(-5)`

Using the rule:
`x^(-a) = (1)/( x^(a) )`, we can rewrite
`a^(6) b^(-5)`:
`a^(6) b^(-5)= (a^(6))/(b^(5))`