Why-a-0-1-and-a-3-1-a-3-

Question Number 1748 by Rasheed Ahmad last updated on 14/Sep/15

W h y a^{0} = 1 a n d a^{- 3} = \frac{1}{a^{3}}

Answered by 123456 last updated on 14/Sep/15

\frac{a^{x}}{a^{y}} = a^{x - y}, a \neq 0

so

x = y

a^{0} = a^{x - x} = \frac{a^{x}}{a^{x}} = 1

a^{- x} = a^{0 - x} = \frac{a^{0}}{a^{x}} = \frac{1}{a^{x}}

Facebook Tweet Pin