Download 2016-10-26 Power to Power and zero exponent 2.notebook

2016­10­26 Power to Power and zero exponent 2.notebook
Today is Wednesday
10/26
Do Now:
­Take out HW
­Put phone on notecard
­Copy down HW from side board
-power to power w.s.
*exponent quiz Friday
Warm Up
Express the following in exponential from:
6 multiplied times itself m times. a • a • a • a • ... • a (14 factors) What value of x makes the sentence true?
3
2
Simplify: x4 x7
x
3
8
= 3
8
y
3
y
October 26, 2016
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
Today's Objective:
Raising a Power to a Power Exponents to the Zero Power
What is the following in simplest form?
2 3
(3 )
Write it in expanded form (3 x 3 )......3 times
How many times do we use 3 as a factor?
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
2 3
So.....to simplify (3 ) we get 3
6
3 4
What about (x )
Write it in expanded form
How many times do we use x as a factor?
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
So.....(x3)4 simplified is
x12
What is happening????
Raising a power to a power
Rule: When you raise a power to a power
For any number x and positive integers a and b
a b (x )
=
ab
x
(52)6 = 5 2 x 6 = 512
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
Exercise 1
(x2)0
(15 )
3 2
(-16)7
Exercise 2
Sara wrote that (35)7 = 312. Why is she
incorrect?
Can you write an equation with a base of 3 ,
using exponents 5, 7 and 12 that would be
true?
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
What about (3 x 4)3
Write in simplest form
33 x 43
Exercise 3
(2 x 3)7
2 4 2
(qr s )
(5x)
7
2 3 7
(x y )
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
These are from tonight's HW!
4 4 3
(4x x )
4 2
(6yx )
Exponents and fractions
( )
1
2
2
3
( )
3
4
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016
Numbers raised to the Zero Power
4
4
500
=
500
=
4
5
4 =
5
Numbers raised to the Zero Power
Rule:
ANYTHING to the Zero Power is
1
50 = 1
20 = 1
(-5)0 =
x0 =
2016­10­26 Power to Power and zero exponent 2.notebook
October 26, 2016