Simplify the expression. Write the result using positive exponents only.
-$\frac { x ^ { - 5 } } { x ^ { - 9 } }$
A) $- x ^ { 4 }$
B) $- \frac { 1 } { x ^ { 4 } }$
C) $\frac { 1 } { \mathrm { x } ^ { 4 } }$
D) $x ^ { 4 }$

Question

Quizplus · Accepted Answer

To simplify the expression $\frac { x ^ { - 5 } } { x ^ { - 9 } }$, we use the rule of exponents that states when dividing powers with the same base, subtract the exponents: $(-5) - (-9) = 4$. Thus, the expression simplifies to $x^4$.

Simplify the Expression x−5x−9\frac { x ^ { - 5 } } { x ^ { - 9 } }x−9x−5​

Simplify the Expression $\frac { x ^ { - 5 } } { x ^ { - 9 } }$