Understand and Use Rational Exponents
-$$\left( 25 x ^ { 4 } y ^ { 6 } \right) ^ { 1 / 2 }$$
A) $5 x ^ { 2 } y ^ { 3 }$
B) $625 \mathrm { x } ^ { 8 } \mathrm { y } 6$
C) $\frac { 5 } { 2 } \mathrm { x } ^ { 2 } \mathrm { y } ^ { 3 }$
D) $25 \mathrm { x } ^ { 2 } \mathrm { y } ^ { 3 }$ 2 Simplify by reducing the index of the radical.

Question

Quizplus · Accepted Answer

Applying the exponent rule $(a^m)^n = a^{mn}$ to each part of the expression $\left( 25 x ^ { 4 } y ^ { 6 } \right) ^ { 1 / 2 }$, we get $5 x^2 y^3$ because $25^{1/2} = 5$, $x^{4 \cdot 1/2} = x^2$, and $y^{6 \cdot 1/2} = y^3$.

Understand and Use Rational Exponents - (25x4y6)1/2\left( 25 x ^ { 4 } y ^ { 6 } \right) ^ { 1 / 2 }(25x4y6)1/2

Understand and Use Rational Exponents
- $\left( 25 x ^ { 4 } y ^ { 6 } \right) ^ { 1 / 2 }$