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GRE Math Reference

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DIAGONAL IF RECTABGULAR SOLID
Use the Pythagorean theorem tiwce, unless you spot special triangles
VOLUME OF CYLINDER
πr^2h
VOLUME OF SPHERE
4/3πr^3
FRACTIONAL POWERS
:Fractional exponents relate to roots.

Ex. x^1/2 = square root of x
NEGATIVE POWERS
:A number raised to the exponent -x is the reciprocal fo that number raised to the exponent x
POWERS WITH BASE OR EXPONENT OF ZERO
:Zero to any nonzero exponent equals zero

:Any non-zero number raised to the zero exponent equals 1

: Zero to the zero power is UNDEFINED
RAISE A POWER TO A POWER TO AN EXPONENT
(x^a)^b = x^ab
MULTIPLY/DIVIDE POWERS
MULTIPLY
x^A x x^b = x^(a+b)

DIVIDE
x^c/x^d = x^(c-d)
CIRCUMFERENCE OF A CIRCLE
2πr
AREA OF A CIRCLE
πr^2
SPECIAL RIGHT TRIANGLES
SIDES
3-4-5
5-12-13
ANGLES
30(1)-60(Root 3)-90(2)
45-45-90(Root 2)
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