Solve (-2a^4b^5)^2

$$( - 2 a ^ { 4 } b ^ { 5 } ) ^ { 2 }$$

Evaluate

$$4a^{8}b^{10}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-2a^{4}b^{5}\right)^{2}$$

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

$$\left(-2\right)^{2}\left(a^{4}\right)^{2}\left(b^{5}\right)^{2}$$

Raise -2 to the power 2.

$$4\left(a^{4}\right)^{2}\left(b^{5}\right)^{2}$$

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

$$4a^{4\times 2}b^{5\times 2}$$

Multiply 4 times 2.

$$4a^{8}b^{5\times 2}$$

Multiply 5 times 2.

$$4a^{8}b^{10}$$

Expand

$$4a^{8}b^{10}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-2a^{4}b^{5}\right)^{2}$$

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

$$\left(-2\right)^{2}\left(a^{4}\right)^{2}\left(b^{5}\right)^{2}$$

Raise -2 to the power 2.

$$4\left(a^{4}\right)^{2}\left(b^{5}\right)^{2}$$

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

$$4a^{4\times 2}b^{5\times 2}$$

Multiply 4 times 2.

$$4a^{8}b^{5\times 2}$$

Multiply 5 times 2.

$$4a^{8}b^{10}$$