How many times larger is 9 x 10-4 than 3 x 10-10? a) 3 x 105 b) 3 x 106 c) 6 x 105 d) 6 x 106

B) 3×10⁶

Step-by-step explanation:

You want to find "factor" in ...

... 9×10⁻⁴ = factor × 3×10⁻¹⁰

Divide by the coefficient of "factor"

... (9×10⁻⁴)/(3×10⁻¹⁰) = factor

... (9/3)×10⁻⁴⁻⁽⁻¹⁰⁾ = factor . . . . . . denominator exponent is subtracted from numerator exponent

... 3×10⁶ = factor

The larger number is 3×10⁶ times as large as the smaller one.

44

step-by-step explanation: