Exponent Laws #4 and #5
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Exponent Laws #4 and #5
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Exponent Laws #4 and #5. These laws are generated (and understood) by extending an accepted numerical pattern…. The second tier of the exponents laws takes us beyond the range of “common visualization”. In general x 0 = 1. 8. 1. x. 2. 2 3 =. 2 2 =. 4. 1. x. 2. - PowerPoint PPT Presentation
Transcript of Exponent Laws #4 and #5
![Page 1: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/1.jpg)
Exponent Laws #4 and #5
![Page 2: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/2.jpg)
These laws are generated (and understood) by extending
an accepted numerical pattern…
The second tier of the exponents laws takes us beyond the range of
“common visualization”
![Page 3: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/3.jpg)
In generalx0 = 1
23 = 8
22 = 4
21 = 2 Continue the pattern
20 =
1 2
x
1 2
x
1 2
x 1
![Page 4: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/4.jpg)
This law holds true for any number!
Any number to the exponent zero always reduces to 1
Continue the previous pattern..
![Page 5: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/5.jpg)
Is there a pattern?
2-1 = 121
2-2 =12
12
X =
2-3 =12
X12
12
X =
1
22
1
23
![Page 6: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/6.jpg)
In General
X-n = 1
• When given a negative exponent, invert the term and change the negative exponent to a positive exponent
Xn
![Page 7: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/7.jpg)
For example:
2-3 = 123
= 18
35
-2
=53
2 53
=53
X
=259
![Page 8: Exponent Laws #4 and #5](https://reader036.fdocuments.in/reader036/viewer/2022083004/56812cec550346895d91b00c/html5/thumbnails/8.jpg)
3-2 =
132
=
19
(2x)3 = 8x3
(x4)(x3) = x7
(y4)5 = y20
Try some others