# Category : Science and Education

Archive : AYRFCAL1.ZIP

Filename : CI_6.HLP

Review of Exponents and Radicals

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If a and b are positive integers:

a b a+b

x x = x

a

x a-b 1

ÄÄÄÄ = x = ÄÄÄÄÄÄ

b b-a

x x

a b ab

(x ) = x

a a a

(xy) = x y

a a a

(x/y) = x / y

O

x = 1 ( if x Ø O )

-a a

x = 1 / x

_____

a/b b Ý a

x = \Ý x

-a/b a/b

x = 1 / x

_____

b Ý 1/b

\Ý x = x

_____ _____ _____

b Ý b Ý b Ý

\Ý x \Ý y = \Ý xy

____

b Ý ____

\Ý x b Ý x

ÄÄÄÄÄÄÄ = ÝÄÄÄ

____ \Ý y

b Ý

\Ý y

ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿

³ Common Mistakes ³

ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ

_______ __ __

NOTE: There is NO formula relating \Ýx + y to \Ýx + \Ýy .

This is the biggest single mistake we see in this area. If you make this

mistake it is very unlikely you'll ever do well in calculus.

-1/3 1 -1/3 1

WRONG x = ÄÄÄÄ RIGHT x = ÄÄÄÄÄ

3 1/3

x x

_________ ________

Ý 2 Ý 2

WRONG \Ý x + 1 = x + 1 RIGHT \Ý x + 1 cannot be simplified.

_________ _________ _________ __________

Ý 2 Ý 2 3 Ý 2 Ý 3 4

WRONG x\Ý x + x = \Ý x + x RIGHT x\Ý x + x = \Ý x + x

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question you were doing.

Very nice! Thank you for this wonderful archive. I wonder why I found it only now. Long live the BBS file archives!

This is so awesome! 😀 I’d be cool if you could download an entire archive of this at once, though.

But one thing that puzzles me is the “mtswslnkmcjklsdlsbdmMICROSOFT” string. There is an article about it here. It is definitely worth a read: http://www.os2museum.com/wp/mtswslnk/