A power is a quick way of writing repeated same number multiplication.

Base is the number used as a factor for repeated multiplication.

Exponent is the number of times you multiply the base in a power by itself.

22 = two squared = (lh) = 2x2

23 = two cubed = (lhw) = 2x2x2

You could also say -two to the exponent of 2 or 3

-two to the second/third power

Ordinality describes position. eg. 1st, 2nd, 3rd.....

Here are some examples of how you do it....

24= 2x2x2x2 = 16

23= 2x2x2 = 8

22= 2x2 = 4

21= 2 = 2

20= 1

34= 3x3x3x3 = 81

33= 3x3x3 = 27

32= 3x3 = 9

31= 3 = 3

30= 1

Laws

Zero Exponent Law- any base to the exponent of zero is 1. (X0=1)

Exponent Law of One- any base the exponent of 1 is itself. (X1=X)

Product Law- any powers with the same base when multiplied, add the exponents to get the new power. (73 x 75 = 78), (122 x 123 x 124 x 12=1210), or (am x an=am+n)

***Be careful when adding the exponents. Always remember that a number without an exponent (12) has a hidden one (1)

Quotient Law- when any powers with the same base are divided, subtract the exponents to get the new power. (44 / 42 = 42), (57 / 53 = 54), (am / an = am-n)

Power of a Power Law- when one (1) is raised to any exponent, it will always equal 1.

Power of a Power Law example...

14= 1x1x1x1 = 1

13= 1x1x1 = 1

12= 1x1 = 1

11= 1 = 1

10= 1

Here's a little video for you to watch :)

Base is the number used as a factor for repeated multiplication.

Exponent is the number of times you multiply the base in a power by itself.

22 = two squared = (lh) = 2x2

23 = two cubed = (lhw) = 2x2x2

You could also say -two to the exponent of 2 or 3

-two to the second/third power

Ordinality describes position. eg. 1st, 2nd, 3rd.....

Here are some examples of how you do it....

24= 2x2x2x2 = 16

23= 2x2x2 = 8

22= 2x2 = 4

21= 2 = 2

20= 1

34= 3x3x3x3 = 81

33= 3x3x3 = 27

32= 3x3 = 9

31= 3 = 3

30= 1

Laws

Zero Exponent Law- any base to the exponent of zero is 1. (X0=1)

Exponent Law of One- any base the exponent of 1 is itself. (X1=X)

Product Law- any powers with the same base when multiplied, add the exponents to get the new power. (73 x 75 = 78), (122 x 123 x 124 x 12=1210), or (am x an=am+n)

***Be careful when adding the exponents. Always remember that a number without an exponent (12) has a hidden one (1)

Quotient Law- when any powers with the same base are divided, subtract the exponents to get the new power. (44 / 42 = 42), (57 / 53 = 54), (am / an = am-n)

Power of a Power Law- when one (1) is raised to any exponent, it will always equal 1.

Power of a Power Law example...

14= 1x1x1x1 = 1

13= 1x1x1 = 1

12= 1x1 = 1

11= 1 = 1

10= 1

Here's a little video for you to watch :)

Please comment :)

ReplyDeleteGreat job! You explained the notes very well! I liked how you had a diagram with labels to show what a power was. You did a good job on explainig all the laws. The video at the end was also a nice addition to your post. Good job!

ReplyDeleteNice one. . wait GREAT ONE! Your post was simply clear and understandable. Your explanations were accurate and so were your diagrams. You also added such great use of different colors. And the video was a superb part of the blog.

ReplyDeleteGreat Job! There is just one mistake; "Power of a power law" is wrong. When a power is raised to a power, you multiply the exponents to get one power. You defined it as the "Base of One Law", which is, as you said "when one (1) is raised to any exponent, it will always equal 1."

ReplyDeleteEverything else is correct :)