Question

How do you simplify `(\frac { 5x ^ { 3} y ^ { 3} } { 7x ^ { - 4} y } ) ^ { 8}`?

Answer 1

`(5^8x^56y^16)/7^8`

Explanation:

`((5x^3y^3)/(7x^-4y))^8`

`=((5^8x^24y^24)/(7^8x^-32y^8))`

Subtract the indices of like bases to simplify:

`= (5^8 x^(24+32) y^(24-8))/7^8`

`= (5^8x^56y^16)/7^8`