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19 Cards in this Set

  • Front
  • Back
a^m * a^n =
a^(m+n)
a^m
--------- =
a^n
a^ (m-n)

(a =/= 0)
(a^m)^n =
a^(mn)
(ab)^n =
a^n * b^n
(a/b)^n =
a^n
------
b^n

(b =/= 0)
(a+b)^2 =
a^2 + 2am + b^2
(a-b)^2 =
a^2 - 2ab + b^2
(a+b) (a-b) =
a^2 - b^2
a^3 + b^3 =
(a+b) (a^2 - ab + b^2)
a^3 - b^3 =
(a-b) (a^2 + ab + b^2)
quadratic formula

a x^2 + bx + c = 0
x = (-b +- sqrt(b^2 - 4ac)) / 2a
(P/Q) * (R/S) =
PR
-----
QS
(P/Q) / (R/S) =
PS
-----
QR
(P/R) + (Q/R) =
P + Q
-----------
R
(P/R) - (Q/R) =
P - Q
-----------
R
Distance formula
two points P1(x1, y1) and P2(x2, y2)
d = sqrt ( (x2 - x1)^2 + (y2 - y1)^2 )
Equation of a Circle
Center C (h, k)
Radius r
(x-h)^2 + (y-k)^2 = r^2
Point slope formula of a line
slope m
point (x1, y1)
y - y1 = m (x - x1)
Slope Intercept formula of a line
slope m
y-intercept at (0, b)
y = mx + b