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The base is the number that is going to be multiplied by the number of times thexponent says to multiply. The power is the number of times the base or numb

is multiplied. The base tells you what number to multiply and the power or exponent tells you how many times you should multiply the base. A power or exponent is a shortcut to writing out a lot of numbers and multiplicationsymbols. Like when you square a number, you are making it the area of a squaand if you are cubing it you are calculating the area 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)

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

Start with 2 to the first power. As you increase the exponent, what isoperation happening to the base? If we start with 2 as the base, every time yincrease the exponent, you would times it by 2 again.

Starting with the exponent of 4, as you decrease each exponent, what

operation is happening to the base? You are multiplying it another time by 4

Part 3: Powers of Variables

 

Exponents Wiki ActivityMonday, October 07, 2013

9:01 AM

Introduction to Exponents Page 1

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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. When you multiply the same bases together, you can just add theexponents together.

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? x63.

What do you get when you divide x^5 by x^3? x24.

What about x^6 by x? x75.

Come up with a rule that explains what happens when you divide samebases. When you divide the same bases, you minus the exponents.

What do you get when you square x^3? x6

1.What do you get when you square x^4? x8

2.

What do you get when you cube x^2? x63.

What do you get when you raise x^3 to the fourth power? x124.

What do you get when you raise x^2 to the fifth power? x105.

Come up with a rule that explains what happens when you raise a base wian exponent by an exponent. You multiply the exponent by the exponent.

6.

Introduction to Exponents Page 2