Question

Simplify the expression. Write the answer using scientific notation. (4 x 10^13)^-2 -8 x 10^-26 6.25 x 10^-27 0.0625 x 10^-26 6.25 x 10^-28

Answer 1

(4 x 10^13)^-2

(4)^-2 x (10^-26)

.0625 x 10^-26 = 6.25 x 10 ^ -28

The underlined expression is the right answer because it follows the rule of scientific notation.

Answer 2

Option 4th is correct that is:
`6.25\cdot 10^(-28)`

Explanation:

We have been given an expression:

`(4\cdot 10^(13))^(-2)`

`4^(-2)\cdot 10^(13\cdot -2)`

Using
`x^(-a)=(1)/(x^a)`

Here, x= and a= -2

`(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)`