could someone help me with math?

Question

Find this product. Enter your answer in scientific notation.

(7.8×10⁴)(5×10^-6)

Answer 1

All scientific notation is written in the form "Nx10ⁿ " where "1≤|N|<10".  Recall the Laws of Exponents for multiplying and dividing exponents...

 

(7.8x10⁴)(5x10^-6)...original problem

       =(7.8x5)(10⁴x10^-6)...regroup "N" values,

                                          exponents

       =39(10^4+(-6))...simplify, apply Laws of

                                          Exponents

       =39x10^-2.........add exponents

       =3.9x10^-1........rewrite for "1≤|N|<10"