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

Question

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

anonymous · Answer

Is 5.72 x 10^-32   Right?

anonymous · Answer

@Phil1111

zepdrix · Answer

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

anonymous · Answer

Yeah and the other one is 10^-4

zepdrix · Answer

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

zepdrix · Answer

The 5.72 looks correct though :)

anonymous · Answer

I multiplied the first numbers of each part

anonymous · Answer

Is that how you are supposed to do it?

zepdrix · Answer

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

anonymous · Answer

Thank you so much

zepdrix · Answer

np c: