Simplify: $\left( 81 x ^ { 7 } y ^ { 10 } \right) ^ { 1 / 2 }$
A) $9 x ^ { 7 / 2 } y ^ { 5 }$
B) $\frac { 81 } { 2 } x ^ { 7 / 2 } y ^ { 5 }$
C) $81 x ^ { 13 / 2 } y ^ { 10 / 2 }$
D) $9 x ^ { 5 } y ^ { 8 }$

Question

Quizplus · Accepted Answer

To simplify $\left( 81 x ^ { 7 } y ^ { 10 } \right) ^ { 1 / 2 }$, apply the exponent rule $(a^m)^n = a^{mn}$ to each part: $81^{1/2} = 9$, $x^{7(1/2)} = x^{7/2}$, and $y^{10(1/2)} = y^5$.

Simplify (81x7y10)1/2\left( 81 x ^ { 7 } y ^ { 10 } \right) ^ { 1 / 2 }(81x7y10)1/2

Simplify $\left( 81 x ^ { 7 } y ^ { 10 } \right) ^ { 1 / 2 }$