Solve (-2ab^2)^4

$$( - 2 a b ^ { 2 } ) ^ { 4 }$$

Evaluate

$$16a^{4}b^{8}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-2a^{1}b^{2}\right)^{4}$$

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

$$\left(-2\right)^{4}\left(a^{1}\right)^{4}\left(b^{2}\right)^{4}$$

Raise -2 to the power 4.

$$16\left(a^{1}\right)^{4}\left(b^{2}\right)^{4}$$

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

$$16a^{4}b^{2\times 4}$$

Multiply 2 times 4.

$$16a^{4}b^{8}$$

Expand

$$16a^{4}b^{8}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-2a^{1}b^{2}\right)^{4}$$

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

$$\left(-2\right)^{4}\left(a^{1}\right)^{4}\left(b^{2}\right)^{4}$$

Raise -2 to the power 4.

$$16\left(a^{1}\right)^{4}\left(b^{2}\right)^{4}$$

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

$$16a^{4}b^{2\times 4}$$

Multiply 2 times 4.

$$16a^{4}b^{8}$$