Question

Went set of numbers is arranged in descending order. Would it be 7.2 times power of -30, 7×10 with the power of -37.6×10 with the power of -25 7.2×10 with a negative power 25.

Answer 1

To arrange the numbers \(7.2 \times 10^{-30}\), \(7 \times 10^{-37}\), and \(7.2 \times 10^{-25}\) in descending order, we first need to compare their values.

1. **Convert numbers for easier comparison**:
- \(7.2 \times 10^{-30}\) remains the same.
- \(7 \times 10^{-37}\) remains the same.
- \(7.2 \times 10^{-25}\) remains the same.

2. **Identify the powers of 10**:
- The numbers have the following powers:
- \(10^{-30}\)
- \(10^{-37}\)
- \(10^{-25}\)

3. **Compare the exponents**:
- The exponent of \(10^{-30}\) is greater than the exponent of \(10^{-37}\) (since \(-30 > -37\)), so \(7.2 \times 10^{-30}\) is larger than \(7 \times 10^{-37}\).
- The exponent of \(10^{-25}\) is greater than the exponent of \(10^{-30}\) (since \(-25 > -30\)), so \(7.2 \times 10^{-25}\) is larger than \(7.2 \times 10^{-30}\).

4. **Final arrangement**:
- In descending order, the numbers are:
1. \(7.2 \times 10^{-25}\)
2. \(7.2 \times 10^{-30}\)
3. \(7 \times 10^{-37}\)

So, the descending order is:
\[ 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7 \times 10^{-37} \]