which expression is equivalent to $left(x^{\frac{4}{3}}x^{\frac{2}{3}}\right)^{\frac{1}{3}}$?\n$x^{\frac{2}{9…

which expression is equivalent to $left(x^{\frac{4}{3}}x^{\frac{2}{3}}\right)^{\frac{1}{3}}$?\n$x^{\frac{2}{9}}$\n$x^{\frac{2}{3}}$\n$x^{\frac{8}{27}}$\n$x^{\frac{7}{3}}$

which expression is equivalent to $left(x^{\frac{4}{3}}x^{\frac{2}{3}}\right)^{\frac{1}{3}}$?\n$x^{\frac{2}{9}}$\n$x^{\frac{2}{3}}$\n$x^{\frac{8}{27}}$\n$x^{\frac{7}{3}}$

Answer

Answer:

$x^{\frac{2}{3}}$

Explanation:

Step1: Use exponent - product rule

$x^{\frac{4}{3}}x^{\frac{2}{3}}=x^{\frac{4 + 2}{3}}=x^2$

Step2: Use power - of - a - power rule

$(x^2)^{\frac{1}{3}}=x^{2\times\frac{1}{3}}=x^{\frac{2}{3}}$