Solve (wx^2)^5(y^3)^4

$$( w x ^ { 2 } ) ^ { 5 } ( y ^ { 3 } ) ^ { 4 }$$

Evaluate

$$w^{5}x^{10}y^{12}$$

Solution Steps

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

$$\left(wx^{2}\right)^{5}y^{12}$$

Expand \left(wx^{2}\right)^{5}.

$$w^{5}\left(x^{2}\right)^{5}y^{12}$$

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

$$w^{5}x^{10}y^{12}$$

Expand

$$w^{5}x^{10}y^{12}$$

Solution Steps

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

$$\left(wx^{2}\right)^{5}y^{12}$$

Expand \left(wx^{2}\right)^{5}.

$$w^{5}\left(x^{2}\right)^{5}y^{12}$$

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

$$w^{5}x^{10}y^{12}$$