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

`5.46*10^(-10)`

Step-by-step explanation

Scientific notations are written in the form

`A*10^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*10^(-5)*2.10*10^(-5)`

Group the expression to have:

`\begin{gathered} 2.60*10^(-5)*2.10*10^(-5) \\ (2.60*2.10)*(10^(-5)*10^(-5)) \end{gathered}`

Using the product law of indices, the expression becomes;

`\begin{gathered} =5.46*10^(-5+(-5)) \\ =5.46*10^(-10) \end{gathered}`

This gives the required scientific notation. This shows that:

Coefficient (green) = 5.46

Exponent (yellow) = -10