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The base is the number that is going to be multiplied. The power is the numberof times the base or number is multiplied. The base tells you what number to

multiply and the power or exponent tells you how many times you shouldmultiply the base. A power or exponent is a shortcut to writing out a lot ofnumbers and multiplication symbols. Like when you square a number, you aremaking it the area of a square and if you are cubing it you are calculating thearea of a cube with the base.

Base Exponent Meaning Value

2 4 2x2x2x2 16

2

3 2x2x2 8

2

2 2x2 4

2

1 2 2

2

0 No expandedForm (1)

1

2

-1 1/2 0.5(1/2)

2

-2 1/2x1/2 0.25(1/4)

2

-3 1/2x1/2x1/2 0.125(1/8)

-4 1/2x1/2x1/2x1/2 0.0625(1/16)

Exponents Wiki Activity Part 2Monday, October 07, 2013

9:01 AM

Introduction to Exponents Page 1

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Start with 2 to the first power. As you increase the exponent, what isoperation happening to the base? The base is multiplied again when youincrease the exponent

Starting with the exponent of 4, as you decrease each exponent, whatoperation is happening to the base? You are multiplying it another time by 4

Part 3: Powers of Variables

Use constants to help you think thr ough what happens with var iables in the

following list of questions.

What do you get when you add x by x? 2x1.What do you get when you subtract x by x? 02.What do you get when you multiply x by x? x23.What do you get when you divide x by x? 14.What do you get when you multiply x by x by x? x35.What about x by x by x by x by x? x56.What do you get when you multiply x^2 by x? x37.What about x^2 by x^3? x58.What about x^4 by x^6? X109.

Come up with a rule that explains what happens when you multiply samebases.What do you get when you divide x by x? 11.What do you get when you multiply x^2 by x? x32.

What about x^4 by x^2? x6

3.What do you get when you divide x^5 by x^3? x84.What about x^6 by x? x75.

Come up with a rule that explains what happens when you divide samebases.What do you get when you square x^3? x51.What do you get when you square x^4? x62.What do you get when you cube x^2? x53.

Introduction to Exponents Page 2

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What do you get when you raise x^3 to the fourth power? x74.What do you get when you raise x^2 to the fifth power? x75.Come up with a rule that explains what happens when you raise a base wian exponent by an exponent. You add both the exponents together.

6.

Introduction to Exponents Page 3