Solve (7t^frac{6{5}})^3

$$( 7 t ^ { \frac { 6 } { 5 } } ) ^ { 3 }$$

Evaluate

$$343t^{\frac{18}{5}}$$

Solution Steps

Expand \left(7t^{\frac{6}{5}}\right)^{3}.

$$7^{3}\left(t^{\frac{6}{5}}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply \frac{6}{5} and 3 to get \frac{18}{5}.

$$7^{3}t^{\frac{18}{5}}$$

Calculate 7 to the power of 3 and get 343.

$$343t^{\frac{18}{5}}$$

Expand

$$343t^{\frac{18}{5}}$$

Solution Steps

Expand \left(7t^{\frac{6}{5}}\right)^{3}.

$$7^{3}\left(t^{\frac{6}{5}}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply \frac{6}{5} and 3 to get \frac{18}{5}.

$$7^{3}t^{\frac{18}{5}}$$

Calculate 7 to the power of 3 and get 343.

$$343t^{\frac{18}{5}}$$