Using the appropriate property and then check with a calculator. Leave answers without denominators. $\frac { 10 ^ { - 9 } } { 10 ^ { \gamma } }$
A) $10 ^ { 16 }$
B) $10 ^ { - 2 }$
C) $10 ^ { 2 }$
D) $10 ^ { - 16 }$
E) $10 ^ { 7 }$

Question

Quizplus · Accepted Answer

Using the property of exponents $\frac{a^m}{a^n} = a^{m-n}$, we have $\frac{10^{-9}}{10^{\gamma}} = 10^{-9-\gamma}$. Since $\gamma$ is not specified, we assume it to be 7 to match one of the given choices, resulting in $10^{-9-7} = 10^{-16}$.

Using the Appropriate Property and Then Check with a Calculator 10−910γ\frac { 10 ^ { - 9 } } { 10 ^ { \gamma } }10γ10−9​

Using the Appropriate Property and Then Check with a Calculator $\frac { 10 ^ { - 9 } } { 10 ^ { \gamma } }$