Question

evaluate. write your answer as a fraction or whole number without exponents. (1/7)^(-1) =

Explanation:

Step1: Apply negative - exponent rule

The negative - exponent rule states that \(a^{-n}=\frac{1}{a^{n}}\) for \(a
eq0\) and \(n\) a real number. Here \(a = \frac{1}{7}\) and \(n = 1\). So \((\frac{1}{7})^{-1}=\frac{1}{\frac{1}{7}}\).

Step2: Simplify the fraction

When we have \(\frac{1}{\frac{1}{7}}\), dividing by a fraction is the same as multiplying by its reciprocal. So \(\frac{1}{\frac{1}{7}}=1\times\frac{7}{1}=7\).

Answer:

7