Question

Find the value of the expression below. Express your answer in scientific notation.

Answer 1

The value of the expression is
`8.8 * 10^(-2)`.

Solution:

Given expression:

`$(\left(4.8 * 10^(8)\right))/(\left(1.2 * 10^(4)\right)) *\left(2.2 * 10^(-6)\right)`

To find the value of the given expression:

Using exponent rule:
`a^m* a^n=a^(m+n)`

`$\Rightarrow(\left(4.8 * 10^(8-6)\right))/(\left(1.2 * 10^(4)\right)) *\left(2.2 \right)`

`$\Rightarrow(\left(4.8 * 10^(2)\right))/(\left(1.2 * 10^(4)\right)) *\left(2.2 \right)`

Using exponent rule:
`(a^m)/(a^n) =a^(m-n)`

`$\Rightarrow(\left(4.8 * 10^(2-4)\right))/(1.2) * 2.2`

`$\Rightarrow(\left(4.8 * 10^(-2)\right))/(1.2) * 2.2`

Since
`(4.8)/(1.2)=4`

`$\Rightarrow(4 * 10^(-2))* 2.2`

`$\Rightarrow 8.8 * 10^(-2)`

Hence the value of the expression is
`8.8 * 10^(-2)`.