M ATH 9 P RINCIPLES S ECTION 2.1 W HAT ARE E XPONENTS © Copyright all rights reserved to Homework depot:

MATH 9 PRINCIPLESSECTION 2.1 WHAT ARE EXPONENTS

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PROBLEM: BILL GATES DECIDED TO GIVE YOU MONEY. THE FIRST DAY HE WILL GIVE YOU ONE CENT AND THEN DOUBLE THE AMOUNT EACH DAY. HOW MUCH MONEY WILL YOU RECEIVE ON THE 15TH DAY?

1 :st Day

2 :nd Day

3rd :Day

4th :Day

5th :Day

6th :Day

7th :Day

8th :Day

9th :Day

10th :Day

11th :Day

12th :Day

13th :Day

14th :Day

15th :Day

$0.01

$0.02

$0.04

$0.08

$0.16

$0.32

$0.64

$1.28

$2.56

$5.12

$10.24

$20.48

$40.96

$81.92

$163.84

The value on the 15th day can also be found by multiplying “2” over 14 times

15th :Day 0.0122222222222222

$163.84



WHAT ARE EXPONENTS? Exponents are used to represent the multiplication

of a constant over many times Rather than writing out the same constant over

again, we can exponents to simplify the expression

15th :Day 0.0122222222222222

Write as a single exponent

142

The number in the bottom is the Base

The number at the top is the Exponent

The entire expression is a “Power”ie: 2 to the power of 14

The base is the number that is being multiplied by The exponent is how many times you multiply the

baseby itself



EX: WRITE THE FOLLOWING AS A POWER AND THEN EVALUATE THE POWER

) 6 6 6 6 6i

) 3 3 3 3 3 3 3ii

) 7 7 7iii

6 5 7,776

3 7 2,187

7 3 37 343



POWERS WITH NEGATIVE BASES If the base has a negative sign within brackets,

then the base is negative

If the negative sign is not within brackets or there are no brackets, then the base is positive, with a negative sign in front

The product of two negative bases will become positive

25 Base is -5

25Base is 5, so only the “5” is squared and not the negative sign

5 5 25

5 5 25 25

43 3 3 3 3 9 9

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EX: EVALUATE EACH OF THE POWERS

3) 3i

3) 3ii

4) 2iii

5) 4iv

3 3 3

27

33 33

3 3 3

3 3 3

27

2 2 2 2

16

4 4 4 4 4

1024

1024



EX: INDICATE WHETHER IF THE EXPRESSION IS POSITIVE OR NEGATIVE

4) 1i 7

) 1ii

5) 1iii 4 3

) 1 1iv

6 3) 1 1v

1 1 1 1

1 1 1 1 1 1 1 1

1

1 1 1 1 1

1 1 1 1 1 1 1 1 1

1 1 1

1 1 1 1 1 1 1 1 1

1 1 1

Positive Negative

Positive Negative

Positive



EX: COCKROACH QUESTION:

If a colony of 2 cockroaches doubles every day, how many cockroaches will there be after 1 week?

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24 8163264128256




Number ofCockroaches

72 2

How many cockroachesthere was in the beginning

After “7” days, so the base is multiplied 7 times

The population “DOUBLES” each day

256


HOMEWORK

Pp 55-57 # 7 -9, 13, 15, 17, 18



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M ATH 9 P RINCIPLES S ECTION 2.1 W HAT ARE E XPONENTS © Copyright all rights reserved to Homework depot: