# Summary of basic math properties

I know it’s better to have intuition rather than memorize formulas and rues. But nonetheless, I want to combine the most common math properties and formulas that pop up in everyday life and work in one place for quick access. Please let me know in case if I missed something.

#### Properties of Exponents

Property Formula
Zero to the Power of Zero 00 is undefined.
Zero Exponent Property a0 = 1‚ (a ≠ 0)
Negative Exponent Property a-b = 1⁄ab‚ (a ≠ 0)
Product of Powers Property ab + ac = a(b+c)‚ (a ≠ 0)
Quotient of Powers Property ab⁄ac = a(b-c) ‚ (a ≠ 0)
Power of a Product Property ac * bc = (a*b)c ‚ (a‚b ≠ 0)
Power of a Quotient Property ac⁄bc = (a⁄b)c‚ (a‚b ≠ 0)
Power of a Power Property (ab)c = a(b*c)
Rational Exponent Property

Property Formula
Product Rule
Quotient Rule
Power Rule
Equality Rule

#### Trigonometric Identities

Property Formula
Reciprocal Identities
Pythagorean Identities
Quotient Identities
The Sum and Difference Formulas
Co-Function Identities
Even-Odd Identities
Double Angle Formulas

#### Statistics

Property Formula
Variance
Standard Deviation
Sample Standard Deviation

#### Basic Integration and Differentiation Rules

Differentiation rule Integration rule

Property Formula