To find the sum of \(\(9^7\)\) and \(\(100^{10}\)\), let's break it down into detailed steps:
1. Calculate \(\(9^7\)\):
- \(\(9\)\) raised to the power of \(\(7\)\) is calculated by multiplying \(\(9\)\) by itself 7 times.
- This gives us:
\(\[
9^7 = 4782969
\]\)
2. Calculate \(\(100^{10}\)\):
- \(\(100\)\) raised to the power of \(\(10\)\) is calculated by multiplying \(\(100\)\) by itself 10 times.
- This results in:
\(\[
100^{10} = 100000000000000000000
\]\)
3. Sum the two calculated numbers:
- Now that we have the values, we sum them up:
\(\[
4782969 + 100000000000000000000 = 100000000000004782969
\]\)
So, the sum of \(\(9^7\)\) and \(\(100^{10}\)\) is \(\(100000000000004782969\)\).
