Questions: Simplify. 1 / b^(-5)

Solution Steps

To simplify the expression \(\frac{1}{b^{-5}}\), we can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). Applying this property, we can rewrite the expression by flipping the exponent from negative to positive.

To simplify the expression \(\frac{1}{b^{-5}}\), we use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). This allows us to rewrite the expression as \(b^5\).

Given \(b = 2\), we substitute this value into the expression \(b^5\) to calculate the result: \[ b^5 = 2^5 = 32 \]

Final Answer