Notes 6.1 nth Roots and Rational Exponents.notebook
Bellwork
Simplify the following:
1. (­2x2)­4(5xy­4z3)2
January 08, 2015
Notes 6.1 nth Roots and Rational Exponents.notebook
January 08, 2015
Remember these properties???
Property
Product of Powers
Power of a Power
Power of a Product
Negative Exponent
Zero Exponent
Quotient of Powers
Power of a Quotient
How it Works
Example
Notes 6.1 nth Roots and Rational Exponents.notebook
January 08, 2015
Notes 6.1: nth Roots and Rational Exponents
Let's start by practicing how to evaluate on a calculator.
Find the exponent and root buttons on your calculator.
The exponent button usually looks like this:
You can type in any power!
In this unit you'll use fractional exponents!
The square root button usually looks like this:
But you don't always want a square (2) root!
So you need to find the button so you can do any root!
(on a TI it's MATH then the fifth choice)
Notes 6.1 nth Roots and Rational Exponents.notebook
January 08, 2015
Now lets practice some on the calculator!
1.
4.
2.
5.
3.
6.
What does this mean?
Notes 6.1 nth Roots and Rational Exponents.notebook
January 08, 2015
Let's practice rewriting expressions.
Radical notation will look like this:
Rational exponent notation will look like this:
power
root
Rewrite the expression using rational exponent notation.
Example 1
Example 2
7.
You practice!
8.
9.
Notes 6.1 nth Roots and Rational Exponents.notebook
January 08, 2015
Rewrite the expression using radical notation.
Example 3
Example 4
10.
You practice!
11.
12.
Notes 6.1 nth Roots and Rational Exponents.notebook
January 08, 2015
You can sometimes evaluate without using a calculator.
Example 5
Example 6
13.
You practice!
14.
Cube: Volume = a3 (a is the edge length)
16. Find the edge length of a cube whose Volume is 3375cm3.
15.