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