Solve {left(40/xright)}^2

$${ \left( \frac{ 40 }{ x } \right) }^{ 2 }$$

Evaluate

$$\frac{1600}{x^{2}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(40\times \frac{1}{x}\right)^{2}$$

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

$$40^{2}\times \left(\frac{1}{x}\right)^{2}$$

Raise 40 to the power 2.

$$1600\times \left(\frac{1}{x}\right)^{2}$$

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

$$1600x^{-2}$$

Multiply -1 times 2.

$$1600\times \frac{1}{x^{2}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{40}{x^{1}}\right)^{2}$$

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

$$\frac{40^{2}}{\left(x^{1}\right)^{2}}$$

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

$$\frac{1600}{x^{2}}$$

Expand

$$\frac{1600}{x^{2}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(40\times \frac{1}{x}\right)^{2}$$

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

$$40^{2}\times \left(\frac{1}{x}\right)^{2}$$

Raise 40 to the power 2.

$$1600\times \left(\frac{1}{x}\right)^{2}$$

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

$$1600x^{-2}$$

Multiply -1 times 2.

$$1600\times \frac{1}{x^{2}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{40}{x^{1}}\right)^{2}$$

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

$$\frac{40^{2}}{\left(x^{1}\right)^{2}}$$

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

$$\frac{1600}{x^{2}}$$