Question

Multiple Answer question
Which of the following gives '25' as a result of simplification?

• A. $(625{)}^{1/2}$
• B. $\sqrt[3]{3{125}^2}$
• C. $(512{)}^{-2/3}$
• D. $(25{)}^0$

Answer 1

Answer: (A), (B)

The correct options are
A $(625{)}^{1/2}$
B $\sqrt[3]{3{125}^2}$

$=\sqrt{625}={25}^{2\times \frac{1}{2}}=25$

$=\sqrt[3]{3{125}^2}=5^{3\times 2\times \frac{1}{3}}=25$

$=(512{)}^{\frac{-2}{3}}=8^{-2}=\frac{1}{64}$

$=(25{)}^0=1$

Hence ${}^{\prime }{A}^{\prime }$ & ${}^{\prime }{B}^{\prime }$ is the answer