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

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:$6.25\cdot 10^{-28}$

Answer 2

(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.