To determine if the given set of numbers is in descending order, we need to compare their values:
- \(7.6 \times 10^{-25}\)
- \(7.2 \times 10^{-25}\)
- \(7.2 \times 10^{-30}\)
- \(7.0 \times 10^{-30}\)
The first two numbers (\(7.6 \times 10^{-25}\) and \(7.2 \times 10^{-25}\)) are straightforward since they both have the same exponent of \(-25\). Clearly, \(7.6 \times 10^{-25} > 7.2 \times 10^{-25}\).
The last two numbers (\(7.2 \times 10^{-30}\) and \(7.0 \times 10^{-30}\)) also have the same exponent of \(-30\). Thus, \(7.2 \times 10^{-30} > 7.0 \times 10^{-30}\).
Now, we compare the numbers between the two groups:
- \(7.6 \times 10^{-25}\) (larger)
- \(7.2 \times 10^{-25}\) (next larger)
- \(7.2 \times 10^{-30}\) (smaller than both of the previous)
- \(7.0 \times 10^{-30}\) (smallest)
So, the correct descending order should be:
\[ 7.6 \times 10^{-25}, 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7.0 \times 10^{-30} \]
Conclusion: Yes, the set of numbers you provided is indeed arranged in descending order.