Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{x^{-8}}{x^{-19}}$

A) $x^{11}$

B) $\frac{1}{x^{11}}$

C) $\frac{1}{x^{27}}$

D) $-x^{11}$

Question

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{x^{-8}}{x^{-19}}$

A) $x^{11}$

B) $\frac{1}{x^{11}}$

C) $\frac{1}{x^{27}}$

D) $-x^{11}$

Quizplus · Accepted Answer

The quotient rule for exponents states that $a^m / a^n = a^{m-n}$. Applying this rule here, $x^{-8} / x^{-19} = x^{-8-(-19)} = x^{11}$.

Apply the Quotient Rule for Exponents, If Applicable, and Write x−8x−19\frac{x^{-8}}{x^{-19}}x−19x−8​

Apply the Quotient Rule for Exponents, If Applicable, and Write $\frac{x^{-8}}{x^{-19}}$