Final answer:
By dividing 8×105 by 8×10−1 and simplifying, we find that 8×105 is 106 times as great as 8×10−1, corresponding to answer choice D.
Step-by-step explanation:
The question asks us to compare 8×105 to 8×10−1 to determine how many times greater the former is than the latter. To do this, we can divide the two expressions:
8×105 ÷ 8×10−1
This simplifies to 105 ÷ 10−1 because the 8's cancel out (they are common factors).
By the laws of exponents, when we divide powers with the same base, we subtract the exponents:
105 ÷ 10−1 = 105 + 1
= 106
Therefore, 8×105 is 106 times as great as 8×10−1, which corresponds to answer choice D.