Solve [a^2(-b)]^2

$$[ a ^ { 2 } ( - b ) ] ^ { 2 }$$

Evaluate

$$b^{2}a^{4}$$

Solution Steps

Expand \left(a^{2}\left(-b\right)\right)^{2}.

$$\left(a^{2}\right)^{2}\left(-b\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$a^{4}\left(-b\right)^{2}$$

Calculate -b to the power of 2 and get b^{2}.

$$a^{4}b^{2}$$

Expand

$$b^{2}a^{4}$$

Solution Steps

Expand \left(a^{2}\left(-b\right)\right)^{2}.

$$\left(a^{2}\right)^{2}\left(-b\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$a^{4}\left(-b\right)^{2}$$

Calculate -b to the power of 2 and get b^{2}.

$$a^{4}b^{2}$$