Solve {[(2/3)^2]}^frac{-4{3}}

$$\{ [ ( \frac { 2 } { 3 } ) ^ { 2 } ] \} ^ { \frac { - 4 } { 3 } }$$

Evaluate

$$\frac{9\sqrt[3]{2}\times 3^{\frac{2}{3}}}{8}\approx 2.948334068$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

To raise a power to another power, multiply the exponents.

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

Multiply 2 times -\frac{4}{3}.

$$\left(\frac{2}{3}\right)^{-\frac{8}{3}}$$

Raise \frac{2}{3} to the power -\frac{8}{3}.

$$\frac{9\times 3^{\frac{2}{3}}}{4\times 2^{\frac{2}{3}}}$$