scientific notation

Question

Compute (1.40×10^(-6))/( 9.3 ×10^5 ) . Show some work. Write the answer using scientific notation.

Answer 1

(1.4*10^(-6)) / (9.3*10^5)

 

= (1.4/9.3) * 10^(-6-5)

 

≈ 0.1505376344086 * 10^(-11)

 

≈ 1.505376344086 * 10^(-12)

Answer 2

(1.4*10^-6) / (9.3*10⁵)

 

Some rules of exponents:

 

x^-a = 1/x^a 

x^ax^b = x^a+b          

                         

From the first rule, 1/(9.3 * 10⁵) = 9.3 * 10^-5

 

(1.4*10^-6) * (9.3*10^-5) = (1.4*9.3)*(10^-6*10^-5) = ??

 

Multiply out and use the second rule of exponents above to multiply the exponents