Functions and Equations

Hey world,
I will go over the topics we went over in class today, which is functions and equations.
the definitions you will need to know about this unit are:

1. Function: a relation if each x value has exactly one y-value.
2. Rationalize:to remove radicals ,such as from a denominator ,without changing the value of an expression or roots of an equation.
3. Conjugates:inversely or oppositely related with respect to one of a group of otherwise identical properties, especially designating either or both of a pair of complex numbers differing only in the sign of the imaginary number.
   
4. Radical Equations:an equation in which the variable is under a radical sign.
5. Radical: The symbol √ which is used to represent to find the square root of a number.
6. Radicand: the quantity under the square root symbol or radical symbol.
7. Index: a number or symbol often used for subscript or superscript to a mathematical equation.
8. Mixed Radical: a number that contains an integer and a radical.

In our class today we mostly went over a little review of our understanding on how to find perfect cubes and perfect squares and how to determine an integer that is equal to each expressions.

I will provide you with the formula you need for this unit you can make a cheat sheet or you can also get this from Mr.Piatek 's Wiki page.
Exponent Rules:

a^m+a^n: a^m+n
a^m/a^n:a^m-n
(a^m)^n:a^mn

(n√a)^m:a m/n
1/a^m:a^-m
a^-m:1/a^m

a^0:1 a:a^1

now i will show you an example of what we did in class.

(0.5^2)^-3

first step is to change the decimal into a fraction.

(1/2 ^2)^-3 *remember that ^ means to the power of .

second you will solve the bracket

(1/4)^-3

now you see that the exponent is negative so we flip the fraction and make -3 to +3.

(4/1)^3

this means the equation is 4^3

so the answer is 64.

To solve exponent expressions always use BEDMAS
B-Bracket
E-Exponent
D-Division
M-Multiplication
A-Addition
S-Subtraction

Always remember this order.

I hope my blog helped you with exponents.