Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$$\frac { 3 ^ { - 6 } } { 3 ^ { 4 } }$$
A) $\frac { 1 } { 6^{10} }$

B) $- 3^{10}$

C) $\frac { 1 } { 3 ^ { 10 } }$

D) $\frac { 1 } { 3 ^ { 24 } }$

Question

Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$$\frac { 3 ^ { - 6 } } { 3 ^ { 4 } }$$
A) $\frac { 1 } { 6^{10} }$

B) $- 3^{10}$

C) $\frac { 1 } { 3 ^ { 10 } }$

D) $\frac { 1 } { 3 ^ { 24 } }$

Quizplus · Accepted Answer

Using the laws of exponents, specifically the quotient rule $a^m / a^n = a^{m-n}$, we get $3^{-6} / 3^4 = 3^{-6-4} = 3^{-10}$. Since a negative exponent means the reciprocal, $3^{-10} = 1 / 3^{10}$.

Perform the Indicated Operations 3−634\frac { 3 ^ { - 6 } } { 3 ^ { 4 } }343−6​

Perform the Indicated Operations $\frac { 3 ^ { - 6 } } { 3 ^ { 4 } }$