Question

evaluate. write your answer as a whole number or as a simplified fraction. \\(\frac{9^2}{12^{-1}} = \square\\) submit

Explanation:

Step1: Calculate the numerator

The numerator is \(9^2\), which means \(9\times9 = 81\).

Step2: Calculate the denominator

The denominator is \(12^{-1}\). By the rule of negative exponents, \(a^{-n}=\frac{1}{a^n}\), so \(12^{-1}=\frac{1}{12}\).

Step3: Divide the numerator by the denominator

Dividing by a fraction is the same as multiplying by its reciprocal. So \(\frac{9^2}{12^{-1}} = 81\div\frac{1}{12}=81\times12\).
Calculate \(81\times12 = 972\).

Answer:

\(972\)