Solve (-2x^6y^2)^3

$$( - 2 x ^ { 6 } y ^ { 2 } ) ^ { 3 }$$

Evaluate

$$-8y^{6}x^{18}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-2x^{6}y^{2}\right)^{3}$$

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

$$\left(-2\right)^{3}\left(x^{6}\right)^{3}\left(y^{2}\right)^{3}$$

Raise -2 to the power 3.

$$-8\left(x^{6}\right)^{3}\left(y^{2}\right)^{3}$$

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

$$-8x^{6\times 3}y^{2\times 3}$$

Multiply 6 times 3.

$$-8x^{18}y^{2\times 3}$$

Multiply 2 times 3.

$$-8x^{18}y^{6}$$

Expand

$$-8y^{6}x^{18}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-2x^{6}y^{2}\right)^{3}$$

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

$$\left(-2\right)^{3}\left(x^{6}\right)^{3}\left(y^{2}\right)^{3}$$

Raise -2 to the power 3.

$$-8\left(x^{6}\right)^{3}\left(y^{2}\right)^{3}$$

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

$$-8x^{6\times 3}y^{2\times 3}$$

Multiply 6 times 3.

$$-8x^{18}y^{2\times 3}$$

Multiply 2 times 3.

$$-8x^{18}y^{6}$$