Solve (7/S)^-3

$$( \frac { 7 } { S } ) ^ { - 3 }$$

Evaluate

$$\frac{S^{3}}{343}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(7\times \frac{1}{S}\right)^{-3}$$

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

$$7^{-3}\times \left(\frac{1}{S}\right)^{-3}$$

Raise 7 to the power -3.

$$\frac{1}{343}\times \left(\frac{1}{S}\right)^{-3}$$

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

$$\frac{1}{343}S^{-\left(-3\right)}$$

Multiply -1 times -3.

$$\frac{1}{343}S^{3}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{7}{S^{1}}\right)^{-3}$$

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

$$\frac{7^{-3}}{\left(S^{1}\right)^{-3}}$$

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

$$\frac{\frac{1}{343}}{S^{-3}}$$

Multiply 1 times -3.

$$\frac{\frac{1}{343}S^{3}}{1}$$

Expand

$$\frac{S^{3}}{343}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(7\times \frac{1}{S}\right)^{-3}$$

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

$$7^{-3}\times \left(\frac{1}{S}\right)^{-3}$$

Raise 7 to the power -3.

$$\frac{1}{343}\times \left(\frac{1}{S}\right)^{-3}$$

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

$$\frac{1}{343}S^{-\left(-3\right)}$$

Multiply -1 times -3.

$$\frac{1}{343}S^{3}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{7}{S^{1}}\right)^{-3}$$

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

$$\frac{7^{-3}}{\left(S^{1}\right)^{-3}}$$

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

$$\frac{\frac{1}{343}}{S^{-3}}$$

Multiply 1 times -3.

$$\frac{\frac{1}{343}S^{3}}{1}$$