Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{x^{-16}}{x^{-16}}$

A) $x^{32}$
B) 1
C) $-x^{16}$
D) $\frac{1}{x^{32}}$

Question

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.
-$\frac{x^{-16}}{x^{-16}}$

A) $x^{32}$
B) 1
C) $-x^{16}$
D) $\frac{1}{x^{32}}$

Quizplus · Accepted Answer

The quotient rule for exponents states that $a^m / a^n = a^{m-n}$. Applying this rule here, we get $x^{-16} / x^{-16} = x^{0}$, and any nonzero number raised to the power of 0 is 1.

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

Apply the Quotient Rule for Exponents, If Applicable, and Write $\frac{x^{-16}}{x^{-16}}$