Graphical representation of Inequalities
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Graphical representation of Inequalities: |
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Example: To show x > 2 graphically, we use an open circle at
2 on the number line and a line to
the right of this point, with an arrow pointing to the right:
The open circle shows that the point is not part of the indicated solution.
Example: To show x ≤1graphically, we use a solid
circle at 1 on the number line and a line to the
left of this point, with an arrow pointing to the left:
The solid circle shows that the point is part of the indicated solution
Exponents are a shorthand way to show how many times a number, called the base,
are
multiplied times itself. A number with an exponent is said to be "raised to the power" of that
exponent. A base of five raised to the second power is called "five squared" and means "five
times five."
In this example, 10 is the base and 4
is the exponent
1. a1 = a.
Any number raised to the power of one equals the number
itself.
2. For any number a, except 0, a0 = 1.
Any number raised to the power of zero, except zero, equals one.
3. For any numbers a, b, and c: ab × ac = ab+c.
We can simply add the exponents when multiplying two powers with the same base.
4. For any numbers a, b, and c: ab / ac = ab-c.
We can simply subtract the exponents when dividing two powers with the same base.
Example1: Simplify 
Solution: 
Example2: Simplify 
Solution:
Example3: Simplify 
Solution: 
Example: Simplify
Solution: 
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