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 $(\frac{x^{3}y}{z^{4}})^{\frac{2}{3}}$

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

Cancelling 3 in the power of variable x.

Applying the law of exponent which states that $(a^{m})^{n} = a^{m \times n}$

=$\frac{x^{2}y^{\frac{2}{3}}}{z^{{\frac{8}{3}}}}$