# Shared Flashcard Set

## Details

Bases and Exponents (rules)
operations to add, multiply, divide bases and exponents
19
Mathematics
07/03/2009

Term
 the base is
Definition
 the big number, or letter on the bottom
Term
 the exponent is
Definition
 the little number, or letter in the upper-right corner
Term
 A base to the zero power always equals
Definition
 one x0 = 1 50 = 1 1290 = 1
Term
 A base to the second power is
Definition
 base x base or base2
Term
 A base to a negative exponent is
Definition
 the reciprocal of something x-4 = 1⁄(x4)
Term
 to multiply like bases
Definition
 add the exponents x3 × x2 = x(3+2) = x5
Term
 True or False? You can multiply unlike bases
Definition
 False Ex: dogs cannot multiply with Cats
Term
 to divide like bases
Definition
 subtract the exponents x5 ÷ x2 = x(5 - 2) = x3
Term
 a numerical coefficient is
Definition
 the number in front of the base
Term
 True or False? You cannot add or subtract like bases with different exponents.
Definition
 True   the bases and exponents must be the same for you to add or subtract the terms.
Term
 True or False? You cannot simply add or subtract the numerical coefficients of unlike bases.
Definition
 True Like working with cats and dogs, they don't mingle
Term
 prime numbers are
Definition
 numbers greater than 1, and cannot be divided other than by 1 and themselves. Examples: 2, 3, 5, 7, 11, and 13
Term
 composite numbers are
Definition
 numbers that can be divided other than by 1 or themselves. Examples: 4, 6, 8, 9, 10, and 12.
Term
 Solving for x
Definition
 Follow these steps: 1. Isolate the variable, which means getting all the x's on one side and all non-x's on the other side. 2.  Add all the x's on one side; add all the non-x's on the other side. 3.  Divide both sides of the equation by the number in front of the x.
Term
 FOIL Method
Definition
 First, Outer, Inner, Last and refers to the order in which you multiply variables in parantheses. (a + b) (a - b) = 1. First:  a × a = a2 2. Outer: a × (-b) = -ab 3. Inner: b × a = ba (the same as ab) 4. Last: b × (-b) = -b2 add like terms: -ab + ab +0ab final solution: a2 - b2
Term
 First FOIL problem to memorize (a + b)2 = a2 + 2ab + b2
Definition
 final solution a2 + 2ab + b2
Term
 Second FOIL problem to memorize (a - b) 2 = a2 - 2ab + b2
Definition
 Final solution a2 - 2ab + b2
Term
 Third FOIL problem to memorize (a - b) (a + b) = a2 - b2
Definition
 Final Soution a2 - b2
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