Question

(9 x 10^-3)^2 simplify and write in scientific notation

Answer 1

Answer:

$(9 \times 10^{-3})^2$ can be written in scientific notation as $8.1 \times 10^{-5}$

Step-by-step explanation:

A number is written in scientific notation if it can be written as $p \times 10^x$ where p has value greater than or equal to 1 and less than 10 and x is an integer.

Given - $(9 \times 10^{-3})^2$

First applying  $(ab)^2=a^2b^2$

We get,  $(9 \times 10^{-3})^2=9^2 \times (10^{-3})^2$

using property of exponents $(a^n)^m=a^{nm}$

$9^2 \times (10^{-3})^2=81 times 10^{-6}$

Thus, we have to write $81 times 10^{-6}$ in scientific notation,

Multiply and divide by 10 , we get

$81 times 10^{-6}=8.1 \times 10^{-5}$

Thus, $(9 \times 10^{-3})^2$ can be written in scientific notation as $8.1 \times 10^{-5}$