How many times greater is 3, point, 8, 9, 4, times, 10, to the power 83.894×10^8 than 6.6 times 10, to the power 66.6×10^6? Express your answer using either standard notation
First, simplify the expression for the first number:
3.894 × 10^83.894 × 10^8 = 3.894 × 10^(83.894+8) = 3.894 × 10^91.894
Next, simplify the expression for the second number:
6.6 × 10^66.6 × 10^6 = 6.6 × 10^(66.6+6) = 6.6 × 10^72.6
Now, to find how many times greater the first number is than the second number, divide the first number by the second number:
(3.894 × 10^91.894) / (6.6 × 10^72.6) = (3.894 / 6.6) × 10^(91.894 - 72.6) = 0.59 × 10^19.294
Therefore, the first number is 0.59 × 10^19.294 times greater than the second number.
Expressed in standard notation, the first number is approximately 2.72 x 10^19 times greater than the second number.