How to simplify (9 times10^ -31) xx (3times10 ^7)^2 in scientific notation?

1 Answer
May 14, 2018

8.1xx10^-16

Explanation:

(9xx10^-31)xx(3xx10^7)2

9xx10^-31*9xx10^14

(9xx9)*(10^-31xx10^14)

(81)*(10^(-31+14))

81xx10^-17

note that in scientific notation, numbers are between 1 and 10 so 81 is not included

so move the decimal point to the left
when you move it to the left you have to multiply by 10

81 = 8.1 xx 10

simplify 8.1 xx 10 xx 10^-17


color(red)(10^-17xx10=10^-16)


8.1xx10^-16