Question

Simplify the expression quantity x to the third power times y over z to the fourth power end quantity to the two thirds power.

Answer 1

Simplifying the given expression
`((x^(3)y)/(z^(4)))^{(2)/(3)}`

=
`\frac{(x^(3))^{(2)/(3)}y^{(2)/(3)}}{z^{4^{(2)/(3)}}}`

Cancelling 3 in the power of variable x.

Applying the law of exponent which states that
`(a^(m))^(n) = a^(m * n)`

=
`\frac{x^(2)y^{(2)/(3)}}{z^{{(8)/(3)}}}`