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Mathematics 24 Online
OpenStudy (anonymous):

1/x^2*x^17

OpenStudy (anonymous):

\[\frac{ 1 }{ x ^{2} } * x ^{17}\]

OpenStudy (anonymous):

@terenzreignz I"M BACCKKKK

OpenStudy (anonymous):

Lol see if i got this right

terenzreignz (terenzreignz):

Please :)

OpenStudy (anonymous):

OK the fraction becomes \[\frac{ 1^{1} }{ x ^{^{17}}}\]

terenzreignz (terenzreignz):

stop :)

OpenStudy (anonymous):

If I times x by x I get (1^1)(x^19)

terenzreignz (terenzreignz):

Okay, let's review another law that comes into play: \[\Large a^{-m}= \frac1{a^m}\] That is to say, if an exponent is in the denominator, then it's the same as if it were in the numerator but the exponent 'negated' (changed sign) So, that said, what's another way to write \[\Large \frac1{x^2}=\color{red}?\]

OpenStudy (anonymous):

x^-2/1

OpenStudy (anonymous):

Forget the 1

terenzreignz (terenzreignz):

\[\Large \frac1{x^2}= x^{-2}\] should suffice

terenzreignz (terenzreignz):

yeah

OpenStudy (anonymous):

It's just x^-2

terenzreignz (terenzreignz):

That's right. So... \[\Large x^{-2}\cdot x ^{17}\] Basic law of exponent comes to play... just add the exponents :)

OpenStudy (anonymous):

So that gives me x^-2 *x17 x^15

terenzreignz (terenzreignz):

That is correct :)

terenzreignz (terenzreignz):

You want a few drills like last time?

OpenStudy (anonymous):

How about this one \[(\frac{ -x ^{5} }{ 2 }) \]

OpenStudy (anonymous):

wouldn't that be -x^5/2^1

terenzreignz (terenzreignz):

Wait what? \[\Large \frac{-x^5}2{}\]?

terenzreignz (terenzreignz):

Or \[\Large \frac{x^{-5}}2\]?

OpenStudy (anonymous):

Here let me draw it

OpenStudy (anonymous):

|dw:1377019949407:dw|

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