Question

4 multiple choice 1 point evaluate: (5^(-1))/(-9^0) options: -1/5, 5/9, 9/5, 1/5 clear my selection previous next

Explanation:

Step1: Recall exponent rules

Recall that \(a^{-n}=\frac{1}{a^n}\) and \(a^0 = 1\) for \(a
eq0\). So, \(5^{-1}=\frac{1}{5}\) and \(9^0 = 1\), so \(- 9^0=- 1\).

Step2: Substitute values into the fraction

Substitute these values into the given expression \(\frac{5^{-1}}{-9^0}\), we get \(\frac{\frac{1}{5}}{-1}\).

Step3: Simplify the fraction

Dividing a number by \(- 1\) gives its opposite. So, \(\frac{\frac{1}{5}}{-1}=-\frac{1}{5}\).

Answer:

\(-\frac{1}{5}\) (corresponding to the option \(-\frac{1}{5}\))