Solve (a^4/b^6)^2

$$( \frac { a ^ { 4 } } { b ^ { 6 } } ) ^ { 2 }$$

Evaluate

$$\frac{a^{8}}{b^{12}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{a^{4}}{b^{6}}\right)^{2}$$

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

$$\frac{\left(a^{4}\right)^{2}}{\left(b^{6}\right)^{2}}$$

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

$$\frac{a^{4\times 2}}{b^{6\times 2}}$$

Multiply 4 times 2.

$$\frac{a^{8}}{b^{6\times 2}}$$

Multiply 6 times 2.

$$\frac{a^{8}}{b^{12}}$$

Expand

$$\frac{a^{8}}{b^{12}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{a^{4}}{b^{6}}\right)^{2}$$

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

$$\frac{\left(a^{4}\right)^{2}}{\left(b^{6}\right)^{2}}$$

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

$$\frac{a^{4\times 2}}{b^{6\times 2}}$$

Multiply 4 times 2.

$$\frac{a^{8}}{b^{6\times 2}}$$

Multiply 6 times 2.

$$\frac{a^{8}}{b^{12}}$$