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Answer :
To evaluate the expression [tex]\(\frac{3.57 \times 10^{34}}{5.26 \times 10^6}\)[/tex], let's follow these steps:
1. Separate the Components:
- Numerator: [tex]\(3.57 \times 10^{34}\)[/tex]
- Denominator: [tex]\(5.26 \times 10^6\)[/tex]
2. Divide the Coefficients:
- The coefficient from the numerator is 3.57.
- The coefficient from the denominator is 5.26.
- Divide these coefficients:
[tex]\[
\frac{3.57}{5.26} \approx 0.679
\][/tex]
3. Handle the Powers of Ten:
- The power of ten in the numerator is [tex]\(10^{34}\)[/tex].
- The power of ten in the denominator is [tex]\(10^6\)[/tex].
- Subtract the exponents:
[tex]\[
34 - 6 = 28
\][/tex]
- Therefore, the power of ten in the result is [tex]\(10^{28}\)[/tex].
4. Combine the Results:
- Multiply the coefficient from the division (approximately 0.679) by [tex]\(10^{28}\)[/tex],
resulting in:
[tex]\[
0.679 \times 10^{28} = 6.79 \times 10^{27}
\][/tex]
Therefore, the evaluated expression is approximately [tex]\(6.79 \times 10^{27}\)[/tex].
1. Separate the Components:
- Numerator: [tex]\(3.57 \times 10^{34}\)[/tex]
- Denominator: [tex]\(5.26 \times 10^6\)[/tex]
2. Divide the Coefficients:
- The coefficient from the numerator is 3.57.
- The coefficient from the denominator is 5.26.
- Divide these coefficients:
[tex]\[
\frac{3.57}{5.26} \approx 0.679
\][/tex]
3. Handle the Powers of Ten:
- The power of ten in the numerator is [tex]\(10^{34}\)[/tex].
- The power of ten in the denominator is [tex]\(10^6\)[/tex].
- Subtract the exponents:
[tex]\[
34 - 6 = 28
\][/tex]
- Therefore, the power of ten in the result is [tex]\(10^{28}\)[/tex].
4. Combine the Results:
- Multiply the coefficient from the division (approximately 0.679) by [tex]\(10^{28}\)[/tex],
resulting in:
[tex]\[
0.679 \times 10^{28} = 6.79 \times 10^{27}
\][/tex]
Therefore, the evaluated expression is approximately [tex]\(6.79 \times 10^{27}\)[/tex].
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