Question

Evaluate:
$(25{)}^{1/3}\times 5^{1/3}$

Answer 1

Given

$(25{)}^{\frac{1}{3}}\times (5{)}^{\frac{1}{3}}$

Now,

$=(5^2{)}^{\frac{1}{3}}\times (5{)}^{\frac{1}{3}}$

$=(5{)}^{\frac{2}{3}}\times (5{)}^{\frac{1}{3}}$

$=(5{)}^{\frac{2}{3}+\frac{1}{3}}$

$=(5{)}^{\frac{3}{3}}$

$=(5{)}^1$

$=5$