Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent
positive real numbers.
-$$x ^ { 1 / 8 } \cdot x ^ { 7 / 8 }$$
A) $x ^ { 7 / 64 }$
B) $x$
C) $\frac { 1 } { x }$
D) $x ^ { 7 / 8 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. So, $x^{1/8} \cdot x^{7/8} = x^{(1/8 + 7/8)} = x^1 = x$.

Perform the Indicated Operations x1/8⋅x7/8x ^ { 1 / 8 } \cdot x ^ { 7 / 8 }x1/8⋅x7/8

Perform the Indicated Operations $x ^ { 1 / 8 } \cdot x ^ { 7 / 8 }$