Solve ({left(x^2right)}^frac{4{3}})div4/3

$$( { \left( { x }^{ 2 } \right) }^{ \frac{ 4 }{ 3 } } ) \div \frac{ 4 }{ 3 }$$

Evaluate

$$\frac{3x^{\frac{8}{3}}}{4}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and \frac{4}{3} to get \frac{8}{3}.

$$\frac{x^{\frac{8}{3}}}{\frac{4}{3}}$$

Divide x^{\frac{8}{3}} by \frac{4}{3} by multiplying x^{\frac{8}{3}} by the reciprocal of \frac{4}{3}.

$$\frac{x^{\frac{8}{3}}\times 3}{4}$$

Differentiate w.r.t. x

$$2x^{\frac{5}{3}}$$