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: \[ 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7 \times 10^{-37} \]