Solve (w^2/t^3)^5

$$( \frac { w ^ { 2 } } { t ^ { 3 } } ) ^ { 5 }$$

Evaluate

$$\frac{w^{10}}{t^{15}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{w^{2}}{t^{3}}\right)^{5}$$

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

$$\frac{\left(w^{2}\right)^{5}}{\left(t^{3}\right)^{5}}$$

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

$$\frac{w^{2\times 5}}{t^{3\times 5}}$$

Multiply 2 times 5.

$$\frac{w^{10}}{t^{3\times 5}}$$

Multiply 3 times 5.

$$\frac{w^{10}}{t^{15}}$$

Expand

$$\frac{w^{10}}{t^{15}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{w^{2}}{t^{3}}\right)^{5}$$

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

$$\frac{\left(w^{2}\right)^{5}}{\left(t^{3}\right)^{5}}$$

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

$$\frac{w^{2\times 5}}{t^{3\times 5}}$$

Multiply 2 times 5.

$$\frac{w^{10}}{t^{3\times 5}}$$

Multiply 3 times 5.

$$\frac{w^{10}}{t^{15}}$$