Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$$\left( - 4 x ^ { - 3 } \right) \left( 9 x ^ { - 5 } \right)$$
A) $x ^ { 15 }$
B) $- 36 x ^ { 8 }$
C) $- 36 x ^{15}$
D) $\frac { - 36 } { x ^ { 8 } }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Here, $(-4) \times 9 = -36$ and $x^{-3} \times x^{-5} = x^{-3-5} = x^{-8}$, which simplifies to $\frac{-36}{x^8}$.

Simplify Express Your Answer with Positive Exponents (−4x−3)(9x−5)\left( - 4 x ^ { - 3 } \right) \left( 9 x ^ { - 5 } \right)(−4x−3)(9x−5)

Simplify Express Your Answer with Positive Exponents $\left( - 4 x ^ { - 3 } \right) \left( 9 x ^ { - 5 } \right)$