Solve (b^-1/a^-2)^-1=

$$( \frac { b ^ { - 1 } } { a ^ { - 2 } } ) ^ { - 1 } =$$

Evaluate

$$\frac{b}{a^{2}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\frac{1}{\frac{1}{ba^{-2}}}$$

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

$$\frac{1}{\frac{1}{b}\times \frac{1}{a^{-2}}}$$

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

$$\frac{b^{-\left(-1\right)}}{a^{-2\left(-1\right)}}$$

Multiply -1 times -1.

$$\frac{b^{1}}{a^{-2\left(-1\right)}}$$

Multiply -2 times -1.

$$\frac{b}{a^{2}}$$

Differentiate w.r.t. b

$$\frac{1}{a^{2}}$$