Solve (-3v^4u)^4

$$( - 3 v ^ { 4 } u ) ^ { 4 }$$

Evaluate

$$81u^{4}v^{16}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-3v^{4}u^{1}\right)^{4}$$

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

$$\left(-3\right)^{4}\left(v^{4}\right)^{4}\left(u^{1}\right)^{4}$$

Raise -3 to the power 4.

$$81\left(v^{4}\right)^{4}\left(u^{1}\right)^{4}$$

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

$$81v^{4\times 4}u^{4}$$

Multiply 4 times 4.

$$81v^{16}u^{4}$$

Expand

$$81u^{4}v^{16}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-3v^{4}u^{1}\right)^{4}$$

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

$$\left(-3\right)^{4}\left(v^{4}\right)^{4}\left(u^{1}\right)^{4}$$

Raise -3 to the power 4.

$$81\left(v^{4}\right)^{4}\left(u^{1}\right)^{4}$$

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

$$81v^{4\times 4}u^{4}$$

Multiply 4 times 4.

$$81v^{16}u^{4}$$