Question

Simplify the quotient 4.5x10^5/9*10^7. Write your answer in scientific notation show work

Answer 1

remember
(ab)/(cd)=(a/c)(b/d)
and
(x^m)/(x^n)=x^(m-n)
and (x^m)(x^n)=x^(m+n)
so

(4.5x10^5)/(8x10^7)=
(4.5/8)((10^5)/(10^7))=
(0.5625)(10^(5-7))=
(5.625x10^-1)(10^-2)=
(5.625)(10^-3)

it is 5.625 times 10⁻³