Which expression leaves you with the largest number on the number line? A. 10^8/10^14 b.(10^-2)^-7 c. 10^18/10^8 d. 10^5•10^-4•10^11

1 answer

To find the expression that leaves you with the largest number on the number line, you need to compare the exponents in each expression.

A. 10^8/10^14 = 10^(8-14) = 10^-6
B. (10^-2)^-7 = 10^(-2*-7) = 10^14
C. 10^18/10^8 = 10^(18-8) = 10^10
D. 10^5•10^-4•10^11 = 10^(5-4+11) = 10^12

Out of all the options, option D, 10^5•10^-4•10^11, leaves you with the largest number on the number line because its exponent, 10^12, is the highest.