could someone help me with math?

Question

Find this quotient. Enter your answer in scientific notation.

−5.4×10⁷

———————

3×10^-21

 

(btw this is a fraction)

 

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...

(-5.4x10⁷)/(3x10^-21)..........original problem
      =(-5.4÷3)(10⁷÷10^-21)...regroup "N" values,
                                            exponents
      =(-1.8)(10^7-(-21))..........apply Laws of
                                            Exponents (subtract)
      =(-1.8)(10⁷⁺²¹)............simplify
      =-1.8x10²⁸