Exponents

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Transcript Exponents

Exponents
62
Exponent: tells us how
many times to multiply
the base. 6 x 6
Base: the
number that
you start with
b3
=bxbxb
This is NOT the same as 3b!!!
Let’s see what happens when we use negative numbers…
-24
-2 x -2 x -2 x -2 = 16
If you are entering these into your calculator, you
must put parenthesis around the base.
(-2)4
Enter this in your calculator as: ( - 2 ) ^ 4
(25 – 32) + 6 (4)
(32 – 9) + 6 (4)
23 + 6(4)
23 + 24
47
OR
Enter the numbers in your calculator EXACTLY as
you see them. Don’t forget the exponent key before
you punch in the exponent (^).
Find the number of diagonals in a 7-sided figure.
1 ( n2 – 3n) =
2
1 ( 72 – 3(7)) =
2
1 ( 49 – 21) =
2
1 ( 28) =
2
14
Multiplying and Dividing Numbers with Exponents
Rule: when you multiply powers with the same base, KEEP the base and ADD
the exponents.
33 · 32 = 3 5
Rule: when you divide powers with the same base, KEEP the base and
SUBTRACT the exponents.
57 ÷ 52 = 5 5
[23476a2b7c15x3y14z77]0 = 1
WHY???
Any number to the 0 power is 1
Negative Exponents
5-2
When you have a negative exponent, you turn it into a fraction with a 1
as the numerator and get rid of the negative.
1
52
You can put this into your calculator: 1 Ab/c 5^2. You get .04
If you want your answer in fraction form, hit 2nd PRB . You get 1/25.