Question

Simplify the expression (5x^2/4y^4)^3

Answer 1

With an expression like this, you have to raise all the terms to the 3rd power. So the 5 will become
`5^(3)=125`,
`x^(2)` will become
`(x^(2) )^3= x^(6)`, the 4 will become
`4^(3)=64` and finally, the
`y^(4)` becomes
`(y^(4))^3=y^(12)`. If you place all of these together in the same fraction, the new answer equivalent to the initial expression is
`(125x^(6))/(64y^(12))`