Solve (5/t)^5

$$( \frac { 5 } { t } ) ^ { 5 }$$

Evaluate

$$\frac{3125}{t^{5}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(5\times \frac{1}{t}\right)^{5}$$

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

$$5^{5}\times \left(\frac{1}{t}\right)^{5}$$

Raise 5 to the power 5.

$$3125\times \left(\frac{1}{t}\right)^{5}$$

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

$$3125t^{-5}$$

Multiply -1 times 5.

$$3125\times \frac{1}{t^{5}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{5}{t^{1}}\right)^{5}$$

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

$$\frac{5^{5}}{\left(t^{1}\right)^{5}}$$

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

$$\frac{3125}{t^{5}}$$

Expand

$$\frac{3125}{t^{5}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(5\times \frac{1}{t}\right)^{5}$$

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

$$5^{5}\times \left(\frac{1}{t}\right)^{5}$$

Raise 5 to the power 5.

$$3125\times \left(\frac{1}{t}\right)^{5}$$

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

$$3125t^{-5}$$

Multiply -1 times 5.

$$3125\times \frac{1}{t^{5}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{5}{t^{1}}\right)^{5}$$

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

$$\frac{5^{5}}{\left(t^{1}\right)^{5}}$$

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

$$\frac{3125}{t^{5}}$$