How much greater is 2, point, 4, times, 10, to the power 72.4×10 7 than 7, point, 9, times, 10, to the power 57.9×10 5 ? Express your answer using either standard notation or scientific notation.
To compare the difference in value, we first need to calculate each expression:
1. \(2.4 \times 10^{72.4 \times 10^7} = 2.4 \times 10^{7.24 \times 10^8} = 2.4 \times 10^{724000000}\)
2. \(7.9 \times 10^{57.9 \times 10^5} = 7.9 \times 10^{5.79 \times 10^6} = 7.9 \times 10^{5790000}\)
Now we need to compare them:
\(2.4 \times 10^{724000000} - 7.9 \times 10^{5790000} \approx 2.4 \times 10^{724000000}\)
Therefore, the difference between the two expressions is approximately \(2.4 \times 10^{724000000}\).