Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$\frac { x ^ { - 14 } } { x ^ { - 2 } }$
A) $- x ^ { 16 }$
B) $\frac { 1 } { \mathrm { x } ^ { 16 } }$
C) $\frac { 1 } { x ^ { 12 } }$
D) $x ^ { 12 }$

Question

Quizplus · Accepted Answer

When dividing powers with the same base, subtract the exponents: $x^{-14} / x^{-2} = x^{-14 - (-2)} = x^{-12}$. To write with positive exponents, use $x^{-12} = 1/x^{12}$.

Perform the Indicated Operations x−14x−2\frac { x ^ { - 14 } } { x ^ { - 2 } }x−2x−14​

Perform the Indicated Operations $\frac { x ^ { - 14 } } { x ^ { - 2 } }$