Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
-$$\left( x ^ { 10 } y ^ { 5 } \right) ^ { 1 / 5 }$$
A) $x ^ { 10 } y$
B) $x ^ { 2 } | y |$
C) $x ^ { 2 } y$
D) $x ^ { 2 }$

Question

Quizplus · Accepted Answer

When simplifying the given expression $\left( x ^ { 10 } y ^ { 5 } \right) ^ { 1 / 5 }$, we apply the power of a power rule by multiplying the exponents: $x^{10 \cdot 1/5} y^{5 \cdot 1/5} = x^2 y^1 = x^2 y$.

Simplify the Exponential Expression (x10y5)1/5\left( x ^ { 10 } y ^ { 5 } \right) ^ { 1 / 5 }(x10y5)1/5

Simplify the Exponential Expression $\left( x ^ { 10 } y ^ { 5 } \right) ^ { 1 / 5 }$