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

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

Quizplus · Accepted Answer

When dividing powers with the same base, subtract the exponents. So, $\frac{\mathrm{z}^{-7}}{\mathrm{z}^{-5}}=\mathrm{z}^{-7-(-5)}=\mathrm{z}^{-2}=\frac{1}{z^{2}}$.

Divide and Simplify z−7z−5\frac{\mathrm{z}^{-7}}{\mathrm{z}^{-5}}z−5z−7​ A) 1z−2\frac{1}{z^{-2}}z−21​ B) z2\mathrm{z}^{2}z2 C) 1z2\frac{1}{z^{2}}z21​ D) z12z^{12}z12

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