Solve (2/x)^4

$$( \frac { 2 } { x } ) ^ { 4 }$$

Evaluate

$$\frac{16}{x^{4}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

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

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

Raise 2 to the power 4.

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

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

$$16x^{-4}$$

Multiply -1 times 4.

$$16\times \frac{1}{x^{4}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

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

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

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

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

$$\frac{16}{x^{4}}$$

Expand

$$\frac{16}{x^{4}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

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

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

Raise 2 to the power 4.

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

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

$$16x^{-4}$$

Multiply -1 times 4.

$$16\times \frac{1}{x^{4}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

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

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

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

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

$$\frac{16}{x^{4}}$$