Solve (-4x^3y^8)^2=

$$( - 4 x ^ { 3 } y ^ { 8 } ) ^ { 2 } =$$

Evaluate

$$16x^{6}y^{16}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-4x^{3}y^{8}\right)^{2}$$

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

$$\left(-4\right)^{2}\left(x^{3}\right)^{2}\left(y^{8}\right)^{2}$$

Raise -4 to the power 2.

$$16\left(x^{3}\right)^{2}\left(y^{8}\right)^{2}$$

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

$$16x^{3\times 2}y^{8\times 2}$$

Multiply 3 times 2.

$$16x^{6}y^{8\times 2}$$

Multiply 8 times 2.

$$16x^{6}y^{16}$$

Expand

$$16x^{6}y^{16}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-4x^{3}y^{8}\right)^{2}$$

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

$$\left(-4\right)^{2}\left(x^{3}\right)^{2}\left(y^{8}\right)^{2}$$

Raise -4 to the power 2.

$$16\left(x^{3}\right)^{2}\left(y^{8}\right)^{2}$$

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

$$16x^{3\times 2}y^{8\times 2}$$

Multiply 3 times 2.

$$16x^{6}y^{8\times 2}$$

Multiply 8 times 2.

$$16x^{6}y^{16}$$