Question

How would I write this equation in scientific notation?
(2.6 × 10–4)(2.2 × 108)

Answer 1

Is 5.72 x 10^-32 Right?

Answer 2

@Phil1111

Answer 3

What is that last number supposed to be?
Is that 10^8?

Answer 4

Yeah and the other one is 10^-4

Answer 5

Exponent rules tell us to ADD the powers,\[\Large\rm 10^{-4}\times 10^8=10^{-4+8}\]

Answer 6

The 5.72 looks correct though :)

Answer 7

I multiplied the first numbers of each part

Answer 8

Is that how you are supposed to do it?

Answer 9

\[\Large\rm (2.6\times10^{-4})(2.2\times10^8)\]\[\Large\rm =2.6\cdot2.2\times 10^{-4}\cdot10^8\]\[\Large\rm =5.72\times10^{-4+8}\]\[\Large\rm =5.72\times10^{4}\]Yes :) Group the tens for multiplication,
and group the non-tens for multiplication as I showed above.

Answer 10

Thank you so much

Answer 11

np c: