A company produces 4.56 x 10 to the 3rd pwer light bulbs each week. Written in scientific notatio, which is the best estimate of how many light bulbs the company will make in 9.36 x 10 to the 2nd power weeks?

4.56 x 10

^{3}light bulbs per week x 9.36 x 10^{2}weeks = (4.56 x 9.36) x (10^{3}x 10^{2}) = 42.6816 x 10^{5}light bulbs = 4.26816 x 10^{6}light bulbsRemember, when multiplying two exponents with the same base, the exponents add (10

^{3}x 10^{2}= 10^{2+3}= 10^{5})Check:

4.56 x 10

^{3}= 4560 light bulbs9.36 x 10

^{2}weeks = 936 weeks4560 x 936 = 4,268,160 light bulbs = 4.26816 x 10

^{6}