Divide and simplify.
-$\frac { z ^ { - 7 } } { z ^ { - 5 } }$
A) $\frac { 1 } { \mathrm { z } ^ { - 2 } }$
B) $z ^ { 2 }$
C) $\frac { 1 } { \mathrm { z } ^ { 2 } }$
D) $z ^ { 12 }$

Question

Quizplus · Accepted Answer

When we divide two powers with the same base, we subtract their exponents. Therefore, $\frac { z ^ { - 7 } } { z ^ { - 5 } } = z^{-7-(-5)} = z^{-2} = \frac{1}{z^2}$. The correct choice is C.

Divide and Simplify z−7z−5\frac { z ^ { - 7 } } { z ^ { - 5 } }z−5z−7​

Divide and Simplify $\frac { z ^ { - 7 } } { z ^ { - 5 } }$