Question

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

• A. $25$
• B. $3$
• C. $1$
• D. $5$

Answer 1

The correct option is D $5$

$(25{)}^{\frac{1}{3}}\times (5{)}^{\frac{1}{3}}$ $\Rightarrow$ $(25\times 5{)}^{\frac{1}{3}}$ ...$[\because m^x\times n^x=(m\times n{)}^x]$

$\Rightarrow$ $(125{)}^{\frac{1}{3}}$

$\Rightarrow$ $\sqrt[3]{3125}=5$

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