Question

PLEASE HELP THIS IS MY LAST QUESTION!

Answer 1

It is 8.1 × 10^-7

Explanation:

`{(9 * {10}^( - 4) )}^(2) \\ = \{{9}^(2) * {10}^(( - 4 * 2)) \} \\ = 81 * {10}^( - 8) \\ = 8.1 * {10}^( - 7)`

Answer 2

☆Concept:-

The Question is based on the law of exponents .

The law to be used in this question is

`\boxed{\sf a^m* a^n=a^(m+n)}`

Solution:-

`\\ \tt\longmapsto (9* 10^(-4))^2`

`\\ \tt\longmapsto 9^2* 10^(-4(2))`

`\\ \tt\longmapsto 81* 10^(-8)`

• Simplify

`\\ \tt\longmapsto 8.1* 10^(-7)`