Laws of exponents

So the rest are printed as consequences rather than as more lines to learn. x⁰ = 1 is what the division rule says about x³ ÷ x³, which is a thing a child can already see is 1 — and a child who has watched it fall out that way never writes x⁰ = 0, which is the single commonest error on the topic. A negative power is the same division run the other way: x² ÷ x⁵ is plainly 1/x³ by canceling, and the rule says x⁻³, so those two are the same thing and the minus sign never meant a negative answer. A power of a power is the multiply rule used more than once.