Solve (2/x)^-2

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

Evaluate

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

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

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

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

Raise 2 to the power -2.

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

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

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

Multiply -1 times -2.

$$\frac{1}{4}x^{2}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

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

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

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

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

$$\frac{\frac{1}{4}}{x^{-2}}$$

Multiply 1 times -2.

$$\frac{\frac{1}{4}x^{2}}{1}$$

Expand

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

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

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

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

Raise 2 to the power -2.

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

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

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

Multiply -1 times -2.

$$\frac{1}{4}x^{2}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

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

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

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

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

$$\frac{\frac{1}{4}}{x^{-2}}$$

Multiply 1 times -2.

$$\frac{\frac{1}{4}x^{2}}{1}$$