Multiply and simplify.
-$\mathrm { x } ^ { - 9 } \cdot \mathrm { x } ^ { 3 } \cdot \mathrm { x } ^ { - 8 }$
A) $x ^ { 20 }$
B) $x ^ { 14 }$
C) $\frac { 1 } { x ^ { 20 } }$
D) $\frac { 1 } { \mathrm { x } ^ { 14 } }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents: $x^{-9} \cdot x^{3} \cdot x^{-8} = x^{-9+3-8} = x^{-14}$, which simplifies to $\frac{1}{x^{14}}$.

Multiply and Simplify x−9⋅x3⋅x−8\mathrm { x } ^ { - 9 } \cdot \mathrm { x } ^ { 3 } \cdot \mathrm { x } ^ { - 8 }x−9⋅x3⋅x−8

Multiply and Simplify $\mathrm { x } ^ { - 9 } \cdot \mathrm { x } ^ { 3 } \cdot \mathrm { x } ^ { - 8 }$