Mathematics 34 Online
OpenStudy (anonymous):

Let's say you have y = x^{m/n} Let's say for the sake of argument, you want to get rid of the "n" in the denominator. I was shown a technique to do so, but I don't understand as to how it is possible. * Raise both sides to the power "n" ^ how could you do this? y^{n} = x^{m/n*(n)} y^{n} = x^{m}

myininaya (myininaya):

first do you remember law of exponents $(x^r)^s=x^{r \cdot s}$

myininaya (myininaya):

$y=x^\frac{m}{n}$ $y^n=(x^\frac{m}{n})^n$

myininaya (myininaya):

$y^n=x^{(\frac{m}{n} \cdot n)}$

OpenStudy (anonymous):

Which law of exponents is this?

OpenStudy (anonymous):

Ok so this law allows you to raise a power on both sides without having a base?

myininaya (myininaya):

$y^n=x^\frac{m \cdot n}{n}$ $y^n=x^\frac{m \not {n}}{\not{n}}$ $y^n=x^\frac{m}{1}$ $y^n=x^m$

myininaya (myininaya):

no we do have bases on the same side

myininaya (myininaya):

if i told you $8=2^3$ which is true does $8^\frac{1}{3}=(2^3)^\frac{1}{3}$

myininaya (myininaya):

?

myininaya (myininaya):

forgot the question mark

OpenStudy (anonymous):

So you can tack on a power to both sides, without accompanying it with a base. I am not saying it is going there without a base.

myininaya (myininaya):

if i say something is equal to something, and i raise both sides to some power they are till going to be equal

myininaya (myininaya):

of course those powers that i raise both sides to have to be the same power