To determine which expression leaves you with the largest number on the number line, we need to compare the exponents.
First, let's simplify each expression:
(1) (10 ^ 5)/(10 ^ 13) = 10 ^ (5-13) = 10 ^ -8
(2) (10 ^ 15)/(10 ^ - 3) = 10 ^ (15+3) = 10 ^ 18
(3) (10 ^ 2) ^ 8 = 10 ^ (2 * 8) = 10 ^ 16
(4) 10 ^ 5 * 10 ^ - 4 * 10 ^ - 5 = 10 ^ (5 - 4 - 5) = 10 ^ -4
Comparing the exponents, we see that 10 ^ 18 has the largest exponent, which means it leaves you with the largest number on the number line.
Therefore, the expression (10 ^ 15)/(10 ^ - 3) leaves you with the largest number on the number line.
Which expression leaves you with the largest number on the number line?
(1 point)
(10 ^ 5)/(10 ^ 13)
(10 ^ 15)/(10 ^ - 3)
(10 ^ 2) ^ 8
10 ^ 5 * 10 ^ - 4 * 10 ^ - 5
1 answer