What's the difference between 9, point, 6, times, 10, to the power 89.6×10
8
and 9, point, 9, times, 10, to the power 79.9×10
7
? Express your answer using either standard notation or scientific notation.
To find the difference between the two numbers, we can first simplify each expression:
9.6 x 10^89.6 x 10^8 = 9.6 x 10^89.6+8 = 9.6 x 10^97.6
9.9 x 10^79.9 x 10^7 = 9.9 x 10^79.9+7 = 9.9 x 10^86.9
Now, we can find the difference between the two numbers:
9.6 x 10^97.6 - 9.9 x 10^86.9 = (9.6 - 0.99) x 10^97.6 = 8.61 x 10^97.6
Therefore, the difference between the two numbers is 8.61 x 10^97.6.