Question

The exponential form of ${\log }_{10}0.01=-2$ is

• A. $0.01={10}^{-2}$
• B. $0.001={10}^{-3}$
• C. $0.001=1/1000$
• D. $0.01={1/10}^2$

Answer 1

Answer: (A), (D)

The correct options are
A $0.01={10}^{-2}$
D $0.01={1/10}^2$

According to log identities,

If ${\log }_{a}y=x$ then $y=a^x$

$\therefore {\log }_{10}0.01=-2\Rightarrow 0.01={10}^{-2}$