Answer:
Option 4th is correct that is:\(6.25\cdot 10^{-28}\)
Step-by-step explanation:
We have been given an expression:
\((4\cdot 10^{13})^{-2}\)
\(4^{-2}\cdot 10^{13\cdot -2}\)
Using \(x^{-a}=\frac{1}{x^a}\)
Here, x= and a= -2
\(\frac{1}{4^2}\cdot 10^{-26}\)
On simplification:
\(0.0625\cdot10^{-26}\)
When we right shift the decimal to 2 points power will be deducted by 2
\(6.25\cdot 10^{-28}\)
Therefore, Option 4th is correct that is:\(6.25\cdot 10^{-28}\)
