Solve -(-2a^3b)^2

$$- ( - 2 a ^ { 3 } b ) ^ { 2 }$$

Evaluate

$$-4b^{2}a^{6}$$

Solution Steps

Expand \left(-2a^{3}b\right)^{2}.

$$-\left(-2\right)^{2}\left(a^{3}\right)^{2}b^{2}$$

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

$$-\left(-2\right)^{2}a^{6}b^{2}$$

Calculate -2 to the power of 2 and get 4.

$$-4a^{6}b^{2}$$

Expand

$$-4b^{2}a^{6}$$

Solution Steps

Expand \left(-2a^{3}b\right)^{2}.

$$-\left(-2\right)^{2}\left(a^{3}\right)^{2}b^{2}$$

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

$$-\left(-2\right)^{2}a^{6}b^{2}$$

Calculate -2 to the power of 2 and get 4.

$$-4a^{6}b^{2}$$