Which expression leaves you with the largest number on the number line?
A: (10^8)/(10^18)
B: (10^15)/(10^-3)
C: (10^2)^8
D: 10^5 x 10^-4 x 10^-5
To compare these expressions, we can rewrite them with the same base:
A: (10^8)/(10^18) = 10^(8-18) = 10^-10
B: (10^15)/(10^-3) = 10^(15+3) = 10^18
C: (10^2)^8 = 10^(2*8) = 10^16
D: 10^5 x 10^-4 x 10^-5 = 10^(5-4-5) = 10^-4
Comparing the exponents, we can see that B has the largest value. Therefore, the expression that leaves you with the largest number on the number line is B: (10^15)/(10^-3).