Question

What is the simplest form of $5^2\times 6^{-1}\times {100}^1\times \left(\frac{1}{25}\right)$ ?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$5^2\times 6^{-1}\times {100}^1\times \left({\frac{1}{25}}^2\right)=5^2\times \frac{1}{6}\times 100\times \frac{1}{{25}^2}=5^2\times \frac{1}{6}\times 100\times \frac{1}{25}\times \frac{1}{25}=25\times \frac{1}{6}\times 100\times \frac{1}{25}\times \frac{1}{25}=\frac{2}{3}$