Simplify the expression. Write the result using positive exponents only.
-$m ^ { - 6 } \cdot m ^ { - 7 } \cdot m ^ { - 4 } \cdot m$
A) $m ^ { 16 }$
B) $m ^ { 168 }$
C) $\frac { 1 } { m ^ { 16 } }$
D) $\frac { 1 } { m ^ { 168 } }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Here, you have $m^{-6} \cdot m^{-7} \cdot m^{-4} \cdot m^1$. Adding the exponents gives $-6 + (-7) + (-4) + 1 = -16$, resulting in $m^{-16}$. To write this with a positive exponent, it becomes $\frac{1}{m^{16}}$.

Simplify the Expression m−6⋅m−7⋅m−4⋅mm ^ { - 6 } \cdot m ^ { - 7 } \cdot m ^ { - 4 } \cdot mm−6⋅m−7⋅m−4⋅m

Simplify the Expression $m ^ { - 6 } \cdot m ^ { - 7 } \cdot m ^ { - 4 } \cdot m$