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~ Section 7.1 ~ Integer Exponents Packet of Fun, Lecture notes of Calculus

TLW Simplify expressions containing zero and integer exponents. TLW Wish to own a pigdog one day. Page 2. Mini Experiment with Exponents:.

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~ Section 7.1 ~
Integer Exponents Packet of Fun
Previously seen in Exponents:
1. Simplify this expression:
23
4 2 6
2. Evaluate this expression:
221xx
where
3x
Let’s answer some questions about exponents:
1. Do
2
2
and
2
2
mean the same thing? 2. Does multiplication relate to exponents and if so,how?
Things to Know:
TLW Evaluate expressions containing zero and
integer exponents.
TLW Simplify expressions containing zero and
integer exponents.
TLW Wish to own a pigdog one day
pf3
pf4
pf5

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~ Section 7.1 ~

Integer Exponents Packet of Fun

Previously seen in Exponents:

1. Simplify this expression:  42  23  6 2. Evaluate this expression: x^2  2 x  1 where x   3

Let’s answer some questions about exponents:

1. Do  22 and   2 ^2 mean the same thing? 2. Does multiplication relate to exponents and if so,how?

Things to Know:

TLW Evaluate expressions containing zero and integer exponents. TLW Simplify expressions containing zero and integer exponents. TLW Wish to own a pigdog one day

Mini Experiment with Exponents:

Power

(Exponential

Expression)

56 55 54 53 52 51 50 5 ^15 ^2

Value

Impact on Exponents:

What happens when we raise a negative number to a power?

 ^2 ^6 =  ^2 ^5 =  ^2 ^4 =   2 ^3 =  ^2 ^2 =

So, to generalize, we can say when raising a negative number to ____________________________________________

__________________________________________________________________________________________________________

__________________________________________________________________________________________________________

So what are the Negative and Zero Exponent Properties You ask?

Mr. Radvan

Name: ________________________________________ Date: ______________________ Period: ________

Integer/Negative Exponents WS (1) Frogs are Green

Write each expression as an integer or a simple fraction. Use only positive exponents. Simplify!!!

  1. 160 ________ 2. 4 ^2 ________ 3. 3 ^3 ________ 4. 5 ^4 ________ 5.^15 2 

________ 6.^43 4 

________ 7.^31 6 

________ 8.^16 2 

________

Rewrite each expression so that all exponents are positive. Then simplify if necessary.

  1. x ^8 ________ 8. xy ^3 ________ 9. a ^5 b ________
  2. m n^2 ^9 ________ 11.^17 x

________ 12.^34 a

________

13.^53 d

________ 14. 56 1 r ^ t

________ 15.

5 a b d

^ 

________

3 x y z

 ________ 17.

np m

________ 18.

3 8

a c d

________

Name: ____________________________________ Date: _____________________ Period: ________

Integer/Negative Exponents WS (2) Oceans are Blue

Write each expression as an integer or a simple fraction. Use only positive exponents. Simplify!!!

  1. 3 80 ________ 2. 2 ^2 ________ 3. 12 ^1 ________ 4.  7 ^2 ________
  2. 16 40 ________ 6. 90 ________ 7.^12 8 

________ 8.^91 2 

________

Evaluate each expression for m  4, n  5, and p   2.

  1. mp ________ 10. mn ________ 11. pn ________ 12. np ________

Rewrite each expression so that all exponents are positive. Then simplify if necessary.

  1. 3 x ^6 y ^5 ________ 14. 8 a ^3 b c^2 ^2 ________ 15. 15 r ^9 t ^1 ________
  2.  7 p ^5 q ^3 ________ 17.

d e

 ________ 18.

3 m n

 ________

6 m n p

 ________ 20.

 

999 10

m ^ np  

________ 21.

a b cd

 ________