Solve scientific notation Multiplication: ( Multiplication:\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ (2.3∗10^(4) )∗(6.6∗10^7)\ \textless \ br /\ \tex…

Question

Solve scientific notation

Multiplication:
(

`Multiplication:\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ (2.3∗10^(4) )∗(6.6∗10^7)\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \`
Help me this is math show FULL solution because it is required



- Asked by Arabian Citizen
I will delete troll answers​

Answer 1

The multiplication of
`(2.3 * 10^4) * (6.6 * 10^7)` by using scientific notation is
`15.18 * 10^(11)`.

Multiplication of scientific notation.

Scientific notation is a method of writing large numbers in mathematics in a very smaller way. The method of multiplying scientific notation can be done by making use of the laws of indices.

Given that:

`= (2.3 * 10^4) * (6.6 * 10^7)`

We will multiply the decimal numbers separately and the power to which the exponents are being raised to will be added together because they have the same base (10).

`= (2.3* 6.6) * (10^(4+7))`

`= 15.18 * 10^(11)`

Therefore, the multiplication of
`(2.3 * 10^4) * (6.6 * 10^7)` by using scientific notation is
`15.18 * 10^(11)`.