Divide. Write your answer in scientific notation. 6.6 × 10^31 8.8 × 10^−6

To divide the numbers in scientific notation, you’ll divide the coefficients (the numbers in front) and then subtract the exponents (the powers of 10).

Starting with the expression:

[

frac{6.6 times 10^{31}}{8.8 times 10^{-6}}

]

1. Divide the coefficients:

[

frac{6.6}{8.8} = 0.75

]

2. Subtract the exponents:

[

31 – (-6) = 31 + 6 = 37

]

So, combining these results, we have:

[
0.75 times 10^{37}

]

To convert 0.75 into scientific notation, we can write it as:

[
7.5 times 10^{-1}

]

Now we combine this with (10^{37}):

[
7.5 times 10^{-1} times 10^{37} = 7.5 times 10^{36}

]

The final answer is:

[

boxed{7.5 times 10^{36}}

]

This provides the result of dividing the two numbers in scientific notation! Great job on your math work! If you need any further assistance, feel free to ask!