Question

How do you simplify `((2.001times10^34)times(2.812times10^31))/(8.510times10^6)`?

Answer 1

`6.612 xx 10^58`

Explanation:

`((2.001 xx 10^34) xx (2.812 xx 10^31))/(8.510 xx 10^6`

Re-arrange the factors:

`((color(red)(2.001 xx 2.812) xx color(blue)(10^34 xx 10^31)))/(8.510 xx 10^6`

Multipliy the numbers and add the indices of like bases,

`(color(red)(5.626812) xx color(blue)(10^65))/(8.510 xx 10^6`

Divide the numbers and subtract the indices of like bases

`0.6612 xx 10^59`

Write in correct scientific notation:

`6.612 xx 10^58`