Kia says that 10 to the second power is 100.but nyny says that ten to the second power is 1000,where did nyny go wrong?

Nyny Added one more zero than she was supposed to. That would be 10 to the third power, not to the second. For each "power" you have one zero. 10 to the first power would be 10, 10 to the second power would be 100, 10 to the third power would be 1000. This is where Nyny went wrong.