Question

The evaluations of base 4 with exponents 3, 0, and -2 give 64, 1, and 0.0625 respectively. For the positive exponent, multiply the base by itself: 4^3 = 4 × 4 × 4 = 64. By the zero exponent rule any nonzero base to the power of 0 equals 1, so 4^0 = 1. A negative exponent uses the reciprocal: 4^(−2) = 1/4^2 = 1/16 = 0.0625.

make this sound like a 7 year old wrote it

Answer 1

I played with 4 and powers!
4^3 = 4 × 4 × 4 = 64.
4^0 = 1 because anything (not zero) to the zero is 1.
4^(−2) means flip it: 1/4^2 = 1/16 = 0.0625.
Math is fun!