Question

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

(a) 25 (b) 3 (c) 1 (d) 5

Answer 1

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

$5{{}^2}^{\times \frac{1}{3}}\times 5^{\frac{1}{3}}=5^{\frac{2}{3}}\times 5^{\frac{1}{3}}=5^{\frac{2+1}{3}}=5^{\frac{3}{3}}=5^1=5$
∴Simplified value is 5.
Hence, the correct option is (d).