Solve (-4x^4y^5)^2

$$( - 4 x ^ { 4 } y ^ { 5 } ) ^ { 2 }$$

Evaluate

$$16x^{8}y^{10}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-4x^{4}y^{5}\right)^{2}$$

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

$$\left(-4\right)^{2}\left(x^{4}\right)^{2}\left(y^{5}\right)^{2}$$

Raise -4 to the power 2.

$$16\left(x^{4}\right)^{2}\left(y^{5}\right)^{2}$$

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

$$16x^{4\times 2}y^{5\times 2}$$

Multiply 4 times 2.

$$16x^{8}y^{5\times 2}$$

Multiply 5 times 2.

$$16x^{8}y^{10}$$

Expand

$$16x^{8}y^{10}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-4x^{4}y^{5}\right)^{2}$$

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

$$\left(-4\right)^{2}\left(x^{4}\right)^{2}\left(y^{5}\right)^{2}$$

Raise -4 to the power 2.

$$16\left(x^{4}\right)^{2}\left(y^{5}\right)^{2}$$

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

$$16x^{4\times 2}y^{5\times 2}$$

Multiply 4 times 2.

$$16x^{8}y^{5\times 2}$$

Multiply 5 times 2.

$$16x^{8}y^{10}$$