Exponents - Powers and Roots
Integer Exponents
an am = an + m (1)
an / am = an - m (2)
(an)m = (am)n = an m (3)
(ab)m = am bm (4)
(a / b)m = am / bm (5)
p an ± q an = (p ± q) an (6)
a-n = 1 / an (7)
Fractional Exponents
am/n = (am)1/n = (a1/n)m (8)
p (a)1/n ± q (a)1/n = (p ± q) a1/n (9)
(a b)1/n = a1/n b1/n (10)
a1/n / b1/n = (a / b)1/n (11)
(amx)1/nx = (am)1/n (12)
(-a)1/2 = i a1/2 (13)
where
i = imaginary number
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