Solve (-6x^2y^3)^4

$$( - 6 x ^ { 2 } y ^ { 3 } ) ^ { 4 }$$

Evaluate

$$1296x^{8}y^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-6x^{2}y^{3}\right)^{4}$$

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

$$\left(-6\right)^{4}\left(x^{2}\right)^{4}\left(y^{3}\right)^{4}$$

Raise -6 to the power 4.

$$1296\left(x^{2}\right)^{4}\left(y^{3}\right)^{4}$$

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

$$1296x^{2\times 4}y^{3\times 4}$$

Multiply 2 times 4.

$$1296x^{8}y^{3\times 4}$$

Multiply 3 times 4.

$$1296x^{8}y^{12}$$

Expand

$$1296x^{8}y^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-6x^{2}y^{3}\right)^{4}$$

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

$$\left(-6\right)^{4}\left(x^{2}\right)^{4}\left(y^{3}\right)^{4}$$

Raise -6 to the power 4.

$$1296\left(x^{2}\right)^{4}\left(y^{3}\right)^{4}$$

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

$$1296x^{2\times 4}y^{3\times 4}$$

Multiply 2 times 4.

$$1296x^{8}y^{3\times 4}$$

Multiply 3 times 4.

$$1296x^{8}y^{12}$$