Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{6}{6^{-1}}$

A) The quotient rule does not apply.
B) $6^{2}$
C) 6
D) 1

Question

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{6}{6^{-1}}$

A) The quotient rule does not apply.
B) $6^{2}$
C) 6
D) 1

Quizplus · Accepted Answer

The quotient rule for exponents states that $a^m / a^n = a^{m-n}$. Here, $6 / 6^{-1} = 6^{1 - (-1)} = 6^{1 + 1} = 6^2$.

Apply the Quotient Rule for Exponents, If Applicable, and Write 66−1\frac{6}{6^{-1}}6−16​

Apply the Quotient Rule for Exponents, If Applicable, and Write $\frac{6}{6^{-1}}$