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

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

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

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

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

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