Solve (st^3)^4(u^5)^2

$$( s t ^ { 3 } ) ^ { 4 } ( u ^ { 5 } ) ^ { 2 }$$

Evaluate

$$s^{4}u^{10}t^{12}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$\left(st^{3}\right)^{4}u^{10}$$

Expand \left(st^{3}\right)^{4}.

$$s^{4}\left(t^{3}\right)^{4}u^{10}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$s^{4}t^{12}u^{10}$$

Expand

$$s^{4}u^{10}t^{12}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$\left(st^{3}\right)^{4}u^{10}$$

Expand \left(st^{3}\right)^{4}.

$$s^{4}\left(t^{3}\right)^{4}u^{10}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$s^{4}t^{12}u^{10}$$