Solve (tu^2)^3(v^3)^2

$$( t u ^ { 2 } ) ^ { 3 } ( v ^ { 3 } ) ^ { 2 }$$

Evaluate

$$t^{3}\left(uv\right)^{6}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\left(tu^{2}\right)^{3}v^{6}$$

Expand \left(tu^{2}\right)^{3}.

$$t^{3}\left(u^{2}\right)^{3}v^{6}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$t^{3}u^{6}v^{6}$$

Expand

$$t^{3}\left(uv\right)^{6}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\left(tu^{2}\right)^{3}v^{6}$$

Expand \left(tu^{2}\right)^{3}.

$$t^{3}\left(u^{2}\right)^{3}v^{6}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$t^{3}u^{6}v^{6}$$