Solve (4u^frac{1{3}})^-4

$$( 4 u ^ { \frac { 1 } { 3 } } ) ^ { - 4 }$$

Evaluate

$$\frac{1}{256u^{\frac{4}{3}}}$$

Solution Steps

Expand \left(4u^{\frac{1}{3}}\right)^{-4}.

$$4^{-4}\left(u^{\frac{1}{3}}\right)^{-4}$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{3} and -4 to get -\frac{4}{3}.

$$4^{-4}u^{-\frac{4}{3}}$$

Calculate 4 to the power of -4 and get \frac{1}{256}.

$$\frac{1}{256}u^{-\frac{4}{3}}$$

Expand

$$\frac{1}{256u^{\frac{4}{3}}}$$

Solution Steps

Expand \left(4u^{\frac{1}{3}}\right)^{-4}.

$$4^{-4}\left(u^{\frac{1}{3}}\right)^{-4}$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{3} and -4 to get -\frac{4}{3}.

$$4^{-4}u^{-\frac{4}{3}}$$

Calculate 4 to the power of -4 and get \frac{1}{256}.

$$\frac{1}{256}u^{-\frac{4}{3}}$$