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

B) $x ^ { 10 }$

C) $\frac { 1 } { x ^ { 2 } }$

D) $- x ^ { 2 }$

Question

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

B) $x ^ { 10 }$

C) $\frac { 1 } { x ^ { 2 } }$

D) $- x ^ { 2 }$

Quizplus · Accepted Answer

When dividing powers with the same base, you subtract the exponents: $x^4 / x^{-6} = x^{4 - (-6)} = x^{4 + 6} = x^{10}$.

Perform the Indicated Operations x4x−6\frac { x ^ { 4 } } { x ^ { - 6 } }x−6x4​

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