How do you multiply #40.1*1.6*10^(-24)#?

1 Answer
Mar 29, 2015

The answer is #6.416 * 10^-23#

Given: #40.1 * 1.6 * 10^-24#

Start by multiplying together the first two since they are not powers of ten:
#color(red)64.16 * 10^-24#

We can reexpress #64.16# as #6.416 * 10^1#
#6.416 * 10^1 * 10^-24#

Multiplying exponents of the same base allows you to add the exponents:
#6.416 * 10^(1-24)#
#6.416 * 10^-23# Final Answer

I hope that was helpful.