Term

Definition
the big number, or letter on the bottom 


Term

Definition
the little number, or letter in the upperright corner 


Term
A base to the zero power always equals 

Definition
one
x^{0 }= 1
5^{0 }= 1
129^{0 }= 1 


Term
A base to the second power is 

Definition


Term
A base to a negative exponent is 

Definition
the reciprocal of something
x^{4 }= ^{1⁄}(x^{4}) 


Term

Definition
add the exponents
x^{3} × x^{2 }= x(^{3+2}) = x^{5} 


Term
True or False?
You can multiply unlike bases 

Definition
False
Ex: dogs cannot multiply with Cats 


Term

Definition
subtract the exponents
x^{5 ÷} x^{2 }= x(^{5  2}) = x^{3} 


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

Definition
numbers greater than 1, and cannot be divided other than by 1 and themselves.
Examples:
2, 3, 5, 7, 11, and 13 


Term

Definition
numbers that can be divided other than by 1 or themselves.
Examples:
4, 6, 8, 9, 10, and 12. 


Term

Definition
Follow these steps:
1. Isolate the variable, which means getting all the x's on one side and all nonx's on the other side.
2. Add all the x's on one side; add all the nonx's on the other side.
3. Divide both sides of the equation by the number in front of the x. 


Term

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 = a^{2 }
2. Outer: a × (b) = ab
3. Inner: b × a = ba (the same as ab)
4. Last: b × (b) = b^{2}
add like terms: ab + ab +0ab
final solution: a^{2 } b^{2} 


Term
First FOIL problem to memorize
(a + b)^{2 }= a^{2 }+ 2ab + b^{2} 

Definition
final solution
a^{2 }+ 2ab + b^{2} 


Term
Second FOIL problem to memorize
(a  b) ^{2 }= a^{2 } 2ab + b^{2 } 

Definition
Final solution
a^{2  }2ab + b^{2} 


Term
Third FOIL problem to memorize
(a  b) (a + b) = a^{2 } b^{2} 

Definition
Final Soution
a^{2 } b^{2} 

