Solve (-2x^4)^4*x^2

$$( - 2 x ^ { 4 } ) ^ { 4 } \cdot x ^ { 2 }$$

Evaluate

$$16x^{18}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-2x^{4}\right)^{4}\left(x^{1}\right)^{2}$$

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

$$\left(-2\right)^{4}\left(x^{4}\right)^{4}\times 1^{2}\left(x^{1}\right)^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-2\right)^{4}\times 1^{2}\left(x^{4}\right)^{4}\left(x^{1}\right)^{2}$$

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

$$\left(-2\right)^{4}\times 1^{2}x^{4\times 4}x^{2}$$

Multiply 4 times 4.

$$\left(-2\right)^{4}\times 1^{2}x^{16}x^{2}$$

To multiply powers of the same base, add their exponents.

$$\left(-2\right)^{4}\times 1^{2}x^{16+2}$$

Add the exponents 16 and 2.

$$\left(-2\right)^{4}\times 1^{2}x^{18}$$

Raise -2 to the power 4.

$$16\times 1^{2}x^{18}$$

Expand

$$16x^{18}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-2x^{4}\right)^{4}\left(x^{1}\right)^{2}$$

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

$$\left(-2\right)^{4}\left(x^{4}\right)^{4}\times 1^{2}\left(x^{1}\right)^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-2\right)^{4}\times 1^{2}\left(x^{4}\right)^{4}\left(x^{1}\right)^{2}$$

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

$$\left(-2\right)^{4}\times 1^{2}x^{4\times 4}x^{2}$$

Multiply 4 times 4.

$$\left(-2\right)^{4}\times 1^{2}x^{16}x^{2}$$

To multiply powers of the same base, add their exponents.

$$\left(-2\right)^{4}\times 1^{2}x^{16+2}$$

Add the exponents 16 and 2.

$$\left(-2\right)^{4}\times 1^{2}x^{18}$$

Raise -2 to the power 4.

$$16\times 1^{2}x^{18}$$