Why every number to the power of 0 is equal to 1?

Question

I’m too dumb to get it

In: Mathematics

Answer 1

Don’t think of exponents as simply being a number multiplied n times itself (If n=3, then 2x2x2). Think of exponents using one extra number: 1 (allowed under Identity Property of multiplication – not important here). So 2 squared is 1x2x2=4. 2 cubed is 1x2x2x2=8. So if n=0, then 2ⁿ is 1x(zero 2s) which equals 1. Keep in mind that zero 2s means it doesn’t exist, not 2×0. So any number with an exponent of 0 is 1 times nothing else. 1.