Solve (3/x)^3

$$( \frac { 3 } { x } ) ^ { 3 }$$

Evaluate

$$\frac{27}{x^{3}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(3\times \frac{1}{x}\right)^{3}$$

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

$$3^{3}\times \left(\frac{1}{x}\right)^{3}$$

Raise 3 to the power 3.

$$27\times \left(\frac{1}{x}\right)^{3}$$

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

$$27x^{-3}$$

Multiply -1 times 3.

$$27\times \frac{1}{x^{3}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{3}{x^{1}}\right)^{3}$$

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

$$\frac{3^{3}}{\left(x^{1}\right)^{3}}$$

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

$$\frac{27}{x^{3}}$$

Expand

$$\frac{27}{x^{3}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(3\times \frac{1}{x}\right)^{3}$$

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

$$3^{3}\times \left(\frac{1}{x}\right)^{3}$$

Raise 3 to the power 3.

$$27\times \left(\frac{1}{x}\right)^{3}$$

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

$$27x^{-3}$$

Multiply -1 times 3.

$$27\times \frac{1}{x^{3}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{3}{x^{1}}\right)^{3}$$

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

$$\frac{3^{3}}{\left(x^{1}\right)^{3}}$$

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

$$\frac{27}{x^{3}}$$