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11 Cards in this Set

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Define exponents
Exponents refers how many the number is to be multiplied itself.

Example: 3^3 = 3 x 3 x 3
What if exponent is 0? example 3^0
3^0 = 1
What if exponent is negative?
example 3^-3
3^-3 = 1 / 3^3
What if exponent is fraction?
example 3^4/3
3^4/3 = 3 power to 4 and then square root of 3
Law of Exponents

a^n x a^m
=
a^(n + m)
Law of Exponents

(a x b)^3
=
a^3 x b^3
Law of Exponents

(a^m)^n
=
(a)^(m x n)
Law of Exponents

(a^n / b^n)
=
(a / b)^n
Law of Exponents

(a^m) / (a^n)
=
a^ (m-n)
How to multiply two factors eg. (3x^2 + 4xy)x(5x + 3y^4)
=
3x^2 ( 5x + 3y^4)+
4xy (5x + 3y^4)

or
5x (3x^2 + 4xy) +
3y^4 (3x^2 + 4xy)
What is factoring?
Required to look for the common factors to each equation.