Use rational exponents to write as a single radical expression.
-$\sqrt [ 7 ] { x } \cdot \sqrt { x }$
A) $x ^ { 9 }$
B) $\sqrt [ 7 ] { \mathrm { x } ^ { 2 } }$
C) $\sqrt { x ^ { 9 } }$
D) $\sqrt [ 14 ] { \mathrm { x } ^ { 9 } }$

Question

Quizplus · Accepted Answer

The expression can be rewritten using rational exponents as $x^{1/7} \cdot x^{1/2}$. When multiplying expressions with the same base, add the exponents: $1/7 + 1/2 = 2/14 + 7/14 = 9/14$. Thus, the expression simplifies to $x^{9/14}$, which is equivalent to $\sqrt[14]{x^9}$.

Use Rational Exponents to Write as a Single Radical Expression x7⋅x\sqrt [ 7 ] { x } \cdot \sqrt { x }7x​⋅x​

Use Rational Exponents to Write as a Single Radical Expression $\sqrt [ 7 ] { x } \cdot \sqrt { x }$