Download Do Now Lesson #10 – Rules of Exponents Part 2 **Rule - Math

Name________________________________
Date __________
Mr. Tallman
Math 8R
Do Now
Write the following expressions in simplest exponential form.
1) 83 ∙ 83
2)
35
3) 7−6
31
Write the following expressions in standard form.
4) 320
5) 84 ∙ 82
6) 131
Lesson #10 – Rules of Exponents Part 2
Consider the following example…
Example 1) What is (32 )4 in simplest exponential form?

What is the base of the exponent? ___________________________

How many times is the base being multiplied? ________________________

What is the exponent in expanded form? ________________________________________________

Using our exponent multiplication property, what is (32 )4 in simplest exponential form? ___________
**Rule: When you are raising a power to a power, you keep the base and
MULTIPLY the exponents.**
Example 2) What is (83 )6 in simplest exponential form?
Example 3) Which shows (22 )−2 in standard form?
A) 0
B)
C) 2−8
1
16
D) 2−12
Here’s a quick recap of all of our exponent rules…
Rule
Product of Powers
When you multiply two numbers with the same
base, you keep the base and add the exponents.
Quotient of Powers
When you divide two numbers with the same
base, you keep the base and subtract the
exponents.
Power of a Power
When an exponent is raised to another power, you
keep the base and multiply the exponents.
Power of Zero
Any number with a zero as the exponent is equal
to 1.
Power of One
Any number with a 1 as the exponent is equal to
itself.
Negative Exponents
If an exponent is negative, you take the reciprocal
of the exponential number and make the exponent
positive.
Now, You Try!
4) Write (73 )6 in simplest exponential form.
5) Write (22 )3 in standard form.
Example
23 ∙ 25 = 23+5 = 28
310
= 310−2 = 38
32
(64 )5 = 64×5 = 620
50 = 1
71 = 7
3−2 =
1
32
6) Write 53 ∙ 55 ∙ 51 in simplest exponential form.
7) Which of the following is not equivalent to 4−2?
A)
1
B)
42
C) -16
1
16
1 1
D) ∙
4 4
8) Write
9 8 ∙ 94
92
in simplest exponential form.
9) True or False: The number (83 )0 is equal to 1. ______________________________
10) True or False: The number 171 is equal to 17. _____________________________
11) Determine whether each expression shown below is equivalent to a whole number or a fraction.
Write the expression in the correct box.
13
Fraction
7−3
50
31
8−2
Whole Number