Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{x^{19}}{x^{5}}$

A) $x^{24}$
B) $x^{14}$
C) $\frac{1}{x^{14}}$
D) $-x^{14}$

Question

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{x^{19}}{x^{5}}$

A) $x^{24}$
B) $x^{14}$
C) $\frac{1}{x^{14}}$
D) $-x^{14}$

Quizplus · Accepted Answer

The quotient rule for exponents states that $a^m / a^n = a^{m-n}$. Applying this rule here, $x^{19} / x^{5} = x^{19-5} = x^{14}$.

Apply the Quotient Rule for Exponents, If Applicable, and Write x19x5\frac{x^{19}}{x^{5}}x5x19​

Apply the Quotient Rule for Exponents, If Applicable, and Write $\frac{x^{19}}{x^{5}}$