Solve (b^2/a^3)^-2

$$( \frac { b ^ { 2 } } { a ^ { 3 } } ) ^ { - 2 }$$

Evaluate

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

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{b^{2}}{a^{3}}\right)^{-2}$$

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

$$\frac{\left(b^{2}\right)^{-2}}{\left(a^{3}\right)^{-2}}$$

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

$$\frac{b^{2\left(-2\right)}}{a^{3\left(-2\right)}}$$

Multiply 2 times -2.

$$\frac{b^{-4}}{a^{3\left(-2\right)}}$$

Multiply 3 times -2.

$$\frac{1}{b^{4}a^{-6}}$$

Expand

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

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{b^{2}}{a^{3}}\right)^{-2}$$

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

$$\frac{\left(b^{2}\right)^{-2}}{\left(a^{3}\right)^{-2}}$$

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

$$\frac{b^{2\left(-2\right)}}{a^{3\left(-2\right)}}$$

Multiply 2 times -2.

$$\frac{b^{-4}}{a^{3\left(-2\right)}}$$

Multiply 3 times -2.

$$\frac{1}{b^{4}a^{-6}}$$