How do you simplify #(6.12 times 10^4) / (3times10^2)#?

1 Answer
Oct 31, 2015

Answer:

#(6.12 times 10^4) / (3times10^2) = color(green)(204#

Explanation:

In exponents, #color(blue)(a^m*a^n = a^(m+n)#

Hence #10^4# can be written as #10^2 times 10^2#

#(6.12 times 10^4) / (3times10^2) = (6.12 times 10^2 times cancel(10^2)) / (3timescancel(10^2)) #

# = (6.12 times 100)/3#

# = 612/3#

# = color(green)(204#