Transcript 8.1 day one

Exponent Properties involving Products
Algebra 1 Honors
8.1
Day 1
Warm Up
Read the sheet.
1. Underline any words you don’t know or
understand and write them on your Warm
Up.
2. Write one or two sentences that
summarize the reading.
3. Write a sentence about one new fact you
did not know before.
4. Find 67 using a calculator
Notes:
Notice what happens when you
multiple two powers that have
the same base:
a2 x a3
Notes:
Product of Powers Property:
Let a be a real number, and let m and n be
positive integers.
To multiply powers having the same base,
add the exponents.
am x an = am + n
Ex. 56 x 53 =
Use the product of powers
property:
73 x 75 =
9 x 98 x 92 =
(-5)(-5)6 =
(x4)(x3) =
Notes:
Power of a Power:
Notice what happens when you raise a
power to a power:
(a2)3 =
Notes:
Let a be a real number, and let m and n be
positive integers.
To find a power of a power, multiply
exponents.
(am)n = amn
Ex. (34)2
REMEMBER!
Use the power of a power
property:
(25)3 =
(-62)5 =
(x2)4=
((y+2)6)2 =
Notes:
Notice what happens when you raise a product
to a power.
(ab)3 =
Notes:
Let a and b be real numbers, and let m be a
positive integer.
To find a power of a product, find the power of
each factor and multiply.
(ab)m= ambm
Ex. (23 x 17 )5 = 235 x 175
Use the power of a product
property:
(24 x 13)8
(9xy)2
(-4z)2
-(4z)2
Use all three:
(2x3)2 (x4)
White boards
Practice
2
3
x
7
3
Practice
2
(x
7
)(x )
Practice
2
3
(5 )(4 )
Practice
2
(-7)
(-7)
Practice
5x
9
5
Practice
2
7
(4 )
Practice
3
6
(n )
Practice
4
5
((m+1) )
Practice
(42 x
2
12)
Practice
3
2
(-3n )
Practice
2
4
(9mn )
(m)
Homework:
Pg. 492/ 3-6, 11-14, 31
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