Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$\frac { 5 ^ { - 8 } } { 5 ^ { 6 } }$
A) $\frac { 1 } { 5^{48} }$
B) $- 5^{14}$
C) $\frac { 1 } { 5^{14 }}$
D) $\frac { 1 } { 10 ^ { 14 } }$

Question

Quizplus · Accepted Answer

To simplify $\frac { 5 ^ { - 8 } } { 5 ^ { 6 } }$, use the rule of exponents that states $\frac { a ^ { m } } { a ^ { n } } = a ^ { m - n }$. Applying this rule here gives $5^{ -8 - 6 } = 5^{ -14 }$, which simplifies further to $\frac { 1 } { 5^{14} }$.

Perform the Indicated Operations 5−856\frac { 5 ^ { - 8 } } { 5 ^ { 6 } }565−8​

Perform the Indicated Operations $\frac { 5 ^ { - 8 } } { 5 ^ { 6 } }$