Solve -(3a^2b)^2

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

Evaluate

$$-9b^{2}a^{4}$$

Solution Steps

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

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

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

$$-3^{2}a^{4}b^{2}$$

Calculate 3 to the power of 2 and get 9.

$$-9a^{4}b^{2}$$

Expand

$$-9b^{2}a^{4}$$

Solution Steps

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

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

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

$$-3^{2}a^{4}b^{2}$$

Calculate 3 to the power of 2 and get 9.

$$-9a^{4}b^{2}$$