Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent
positive real numbers.
-$$x ^ { 1 / 7 } \cdot x ^ { 6 / 7 }$$
A) $x ^ { 6 / 49 }$
B) $\frac { 1 } { x }$
C) $x$
D) $x ^ { 6 / 7 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Here, $x^{1/7} \cdot x^{6/7} = x^{(1/7 + 6/7)} = x^{7/7} = x^1 = x$.

Perform the Indicated Operations x1/7⋅x6/7x ^ { 1 / 7 } \cdot x ^ { 6 / 7 }x1/7⋅x6/7

Perform the Indicated Operations $x ^ { 1 / 7 } \cdot x ^ { 6 / 7 }$