Solve (3y^frac{4{5}}z)^6

$$( 3 y ^ { \frac { 4 } { 5 } } z ) ^ { 6 }$$

Evaluate

$$729y^{\frac{24}{5}}z^{6}$$

Solution Steps

Expand \left(3y^{\frac{4}{5}}z\right)^{6}.

$$3^{6}\left(y^{\frac{4}{5}}\right)^{6}z^{6}$$

To raise a power to another power, multiply the exponents. Multiply \frac{4}{5} and 6 to get \frac{24}{5}.

$$3^{6}y^{\frac{24}{5}}z^{6}$$

Calculate 3 to the power of 6 and get 729.

$$729y^{\frac{24}{5}}z^{6}$$

Expand

$$729y^{\frac{24}{5}}z^{6}$$

Solution Steps

Expand \left(3y^{\frac{4}{5}}z\right)^{6}.

$$3^{6}\left(y^{\frac{4}{5}}\right)^{6}z^{6}$$

To raise a power to another power, multiply the exponents. Multiply \frac{4}{5} and 6 to get \frac{24}{5}.

$$3^{6}y^{\frac{24}{5}}z^{6}$$

Calculate 3 to the power of 6 and get 729.

$$729y^{\frac{24}{5}}z^{6}$$