Question

8 x 10⁵ is how many times as great as 8 x 10⁻1?
a) 10⁴
b) 10⁶
c) 10⁷
d) 10⁸

Answer 1

8 x 10⁵ is 10⁶ times as great as 8 x 10⁻¹, which is option b) 10⁶.

Step-by-step explanation:

The question asks how many times as great 8 x 10⁵ is compared to 8 x 10⁻¹. To find the factor by which one is greater than the other, we divide the larger number by the smaller number:

(8 x 10⁵) / (8 x 10⁻¹) = 10⁵ / 10⁻¹

Using the property of exponents that when we divide powers of the same base we subtract the exponents, the calculation is:
10⁵ / 10⁻¹ = 10⁵⁺⁻¹ = 10⁵⁰⁹ = 10⁶

Therefore, 8 x 10⁵ is 10⁶ times as great as 8 x 10⁻¹, which corresponds to option b) 10⁶.