Ai4 Rules Of Exponents Reference Sheet
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Multiplication and Division Rules of Exponents
x ⋅x = x m
n
m+ n
xm = x m−n n x
Distributive Rules of Exponents
(x )
m n
m
= x mn
( xy )
m
= xm y m
⎛x⎞ xm ⎜ ⎟ = m y ⎝ y⎠
Negative Exponents
x
−m
1 = m x
1 m = x x−m (When x ≠ 0 and y ≠ 0 ) Other Rules of Exponents
0m = 0
if m > 0
x 0 = 1 if x ≠ 0
x1 = x
⎛x⎞ ⎜ ⎟ ⎝ y⎠
−m
ym = m x
x ⋅x = x m
n
m+ n
xm = x m−n n x
Distributive Rules of Exponents
(x )
m n
m
= x mn
( xy )
m
= xm y m
⎛x⎞ xm ⎜ ⎟ = m y ⎝ y⎠
Negative Exponents
x
−m
1 = m x
1 m = x x−m (When x ≠ 0 and y ≠ 0 ) Other Rules of Exponents
0m = 0
if m > 0
x 0 = 1 if x ≠ 0
x1 = x
⎛x⎞ ⎜ ⎟ ⎝ y⎠
−m
ym = m x
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