Question

How do you simplify `(\frac { a ^ { 5} b ^ { 4} } { a ^ { 3} b ^ { - 4} } ) ^ { - 4}`?

Answer 1

See a solution process below:

Explanation:

First, simplify the terms within the parenthesis:

`((a^5b^4)/(a^3b^-4))^-4 => (a^(5-3)b^(4- -4))^-4 =>`

`(a^(5-3)b^(4+4))^-4 => (a^2b^8)^-4 =>`

`a^(2 xx -4)b^(8 xx -4) => a^-8b^-32 =>`

`1/(a^8b^32)`