8 × 10⁵ is how many times as great as 8 × 10⁻¹? 10⁴ 10⁶ 10⁻⁶ 10⁻⁴
8 × 10⁵ is how many times as great as 8 × 10⁻¹? 10⁴ 10⁶ 10⁻⁶ 10⁻⁴
Answer
Explanation:
Step1: Set up the division
To find how many times (8\times10^{5}) is as great as (8\times10^{-1}), we divide (8\times10^{5}) by (8\times10^{-1}). [ \frac{8\times10^{5}}{8\times10^{-1}} ]
Step2: Simplify the coefficients and exponents
The 8 in the numerator and denominator cancels out. For the exponents, we use the rule (\frac{10^{a}}{10^{b}} = 10^{a - b}). So we have (10^{5-(-1)}). [ 10^{5 + 1}=10^{6} ]
Answer:
(10^{6}) (corresponding to the option with (10^{6}))