Question

Perform the followingoperation and expres theanswer in scientific notation.2.60x10-5 x 2.10x10-5Х[ ? ]x10?)Coefficient (green) Exponent (yellow)Enter

Answer 1

Answer:

$5.46\times10^{-10}$

Explanation

Scientific notations are written in the form

$A\times10^n$

where

A is any real numbers between 1 and 10

n is any integer

GIven the product of the expression as shown:

$2.60\times10^{-5}\times2.10\times10^{-5}$

Group the expression to have:

$\begin{gathered} 2.60\times10^{-5}\times2.10\times10^{-5} \\ (2.60\times2.10)\times(10^{-5}\times10^{-5}) \end{gathered}$

Using the product law of indices, the expression becomes;

$\begin{gathered} =5.46\times10^{-5+(-5)} \\ =5.46\times10^{-10} \end{gathered}$

This gives the required scientific notation. This shows that:

Coefficient (green) = 5.46

Exponent (yellow) = -10