Solve (n^3p)^4

$$( n ^ { 3 } p ) ^ { 4 }$$

Evaluate

$$p^{4}n^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(n^{3}p^{1}\right)^{4}$$

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

$$\left(n^{3}\right)^{4}\left(p^{1}\right)^{4}$$

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

$$n^{3\times 4}p^{4}$$

Multiply 3 times 4.

$$n^{12}p^{4}$$

Expand

$$p^{4}n^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(n^{3}p^{1}\right)^{4}$$

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

$$\left(n^{3}\right)^{4}\left(p^{1}\right)^{4}$$

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

$$n^{3\times 4}p^{4}$$

Multiply 3 times 4.

$$n^{12}p^{4}$$