Solve (6x^-1)^-3

$$( 6 x ^ { - 1 } ) ^ { - 3 }$$

Evaluate

$$\frac{x^{3}}{216}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(6\times \frac{1}{x}\right)^{-3}$$

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

$$6^{-3}\times \left(\frac{1}{x}\right)^{-3}$$

Raise 6 to the power -3.

$$\frac{1}{216}\times \left(\frac{1}{x}\right)^{-3}$$

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

$$\frac{1}{216}x^{-\left(-3\right)}$$

Multiply -1 times -3.

$$\frac{1}{216}x^{3}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{6}{x^{1}}\right)^{-3}$$

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

$$\frac{6^{-3}}{\left(x^{1}\right)^{-3}}$$

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

$$\frac{\frac{1}{216}}{x^{-3}}$$

Multiply 1 times -3.

$$\frac{\frac{1}{216}x^{3}}{1}$$

Expand

$$\frac{x^{3}}{216}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(6\times \frac{1}{x}\right)^{-3}$$

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

$$6^{-3}\times \left(\frac{1}{x}\right)^{-3}$$

Raise 6 to the power -3.

$$\frac{1}{216}\times \left(\frac{1}{x}\right)^{-3}$$

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

$$\frac{1}{216}x^{-\left(-3\right)}$$

Multiply -1 times -3.

$$\frac{1}{216}x^{3}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{6}{x^{1}}\right)^{-3}$$

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

$$\frac{6^{-3}}{\left(x^{1}\right)^{-3}}$$

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

$$\frac{\frac{1}{216}}{x^{-3}}$$

Multiply 1 times -3.

$$\frac{\frac{1}{216}x^{3}}{1}$$