Question

the value of (5)^1/4 *(125)^1/4 is equal to

Answer 1

${5}^{ \frac{1}{4} } \times {125}^{ \frac{1}{4} }$

$= {5}^{ \frac{1}{4} } \times {5}^{3 \times \frac{1}{4} }$

$= {5}^{ \frac{1}{4} } \times {5}^{ \frac{3}{4} }$

$= {5}^{ \frac{1}{4} + \frac{3}{4} }$

$= {5}^{ \frac{4}{4} }$

$= {5}^{1}$

$= 5$

I hope it helps you....