MATH 110
Law of Exponents (a×)ⁿ = a×·ⁿ
(a · b)ⁿ = aⁿ · bⁿ
(aⁿb*)^ = aⁿ^b*^
xⁿx* = xⁿ⁺*
xⁿyⁿ = (xy)ⁿ
xⁿ/x* = xⁿ⁻*
xⁿ/yⁿ = (x/y)ⁿ
x⁰ = 1
a⁰ = 1 if a ≠ 0
When multiplying exponents, you add them.
Cannot distribute exponents when adding or subtracting
Ex → (5x-7)²
Square roots √a² = |a|
Tip: Rewrite expressions without negs or neg exponents ...
Circle A = πr²
C = πd or 2πr
Rectangular box v=l·w·h
S.A. = 2LH + 2WH + 2LW
Sphere V = 4/3πr³
S.A. = 4πr²
Right circular cylinder V = πr²h
S.A. = 2πr² +2πrh
Page 1
Law of Exponents (a×)ⁿ = a×·ⁿ
(a · b)ⁿ = aⁿ · bⁿ
(aⁿb*)^ = aⁿ^b*^
xⁿx* = xⁿ⁺*
xⁿyⁿ = (xy)ⁿ
xⁿ/x* = xⁿ⁻*
xⁿ/yⁿ = (x/y)ⁿ
x⁰ = 1
a⁰ = 1 if a ≠ 0
When multiplying exponents, you add them.
Cannot distribute exponents when adding or subtracting
Ex → (5x-7)²
Square roots √a² = |a|
Tip: Rewrite expressions without negs or neg exponents ...
Circle A = πr²
C = πd or 2πr
Rectangular box v=l·w·h
S.A. = 2LH + 2WH + 2LW
Sphere V = 4/3πr³
S.A. = 4πr²
Right circular cylinder V = πr²h
S.A. = 2πr² +2πrh
Page 1
