Solve (-6a^2b)^2=

$$( - 6 a ^ { 2 } b ) ^ { 2 } =$$

Evaluate

$$36b^{2}a^{4}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-6a^{2}b^{1}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-6\right)^{2}\left(a^{2}\right)^{2}\left(b^{1}\right)^{2}$$

Raise -6 to the power 2.

$$36\left(a^{2}\right)^{2}\left(b^{1}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$36a^{2\times 2}b^{2}$$

Multiply 2 times 2.

$$36a^{4}b^{2}$$

Expand

$$36b^{2}a^{4}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-6a^{2}b^{1}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-6\right)^{2}\left(a^{2}\right)^{2}\left(b^{1}\right)^{2}$$

Raise -6 to the power 2.

$$36\left(a^{2}\right)^{2}\left(b^{1}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$36a^{2\times 2}b^{2}$$

Multiply 2 times 2.

$$36a^{4}b^{2}$$