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Mathematics 15 Online
OpenStudy (anonymous):

Simplify. Write in radical form (see comments for equation)

OpenStudy (anonymous):

\[\left[\begin{matrix}x ^{3} & y ^{-2} \\ xy & \end{matrix}\right]^{-1/5}\]

OpenStudy (kc_kennylau):

what the hell is the fourth term :)

OpenStudy (anonymous):

Whatoh wow that didn't come out right, It's (x^y^-2/xy)^-1/5

OpenStudy (kc_kennylau):

What the hell did you type

OpenStudy (kc_kennylau):

x to the power of y to the power of negative two divided by xy whole thing to the power of one divided by five

OpenStudy (anonymous):

yep...

OpenStudy (anonymous):

and it's asking to simplify and write in radical form..

OpenStudy (kc_kennylau):

and you drawn a matrix? lol

OpenStudy (anonymous):

hey, i'm new with the equations with open study the whole thing besides the -1/5 is in parenthesis

OpenStudy (kc_kennylau):

\[\Huge\left(x^{y^{\frac{-2}{xy}}}\right)^{\frac15}\]

OpenStudy (kc_kennylau):

Is this what you mean?

OpenStudy (anonymous):

nope I'll try to draw it

OpenStudy (anonymous):

OpenStudy (kc_kennylau):

oh that's why, you typed out x^ instead of x^3

OpenStudy (anonymous):

yeah,

OpenStudy (kc_kennylau):

ok, simplify the things inside the parentheses first

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

can't the exponents be added to get xy^1/xy ?

OpenStudy (anonymous):

or (xy/xy)

OpenStudy (kc_kennylau):

no, because they have different bases

OpenStudy (anonymous):

uh, okay?

OpenStudy (shamil98):

\[\huge (\frac{ x^2 }{ y^3 })^{-1/5}\] when multiplying exponents like this you do: \[\huge (x^m)^n = x^{m*n}\]

OpenStudy (anonymous):

@shamil98 is that it? it's only a 2pt question so I think that will do it for me honestly, it's the only one like that on it too so..

OpenStudy (anonymous):

or can't we multiply both the exponents by -1/5 ??

OpenStudy (shamil98):

no you simplify this: \[\huge \frac{ x^{3*\frac{ -1 }{ 5 }} }{ y^{2*\frac{ -1 }{ 5 }} }\]

OpenStudy (shamil98):

then using the rule: \[\huge x^{-n} = \frac {1}{x^n}\]

OpenStudy (anonymous):

i got x^-.6/y=-.4 what are those decimals as fractions? my calculator wont show them -.6 and -.4

OpenStudy (shamil98):

Keep it in fractions..

OpenStudy (shamil98):

and there is no need for a calculator here.

OpenStudy (anonymous):

i don't know how to do that, i'm terrible with fractions

OpenStudy (shamil98):

What is \[\huge 3 * \frac{ -1 }{ 5 }\]

OpenStudy (anonymous):

i can't do mental math at all. like literally it does not click in my brain at all. do i multiply 3x-1 and 3x5 -3/15 ??

OpenStudy (anonymous):

or -1/5 ?

OpenStudy (anonymous):

-3/5

OpenStudy (shamil98):

\[\huge 3 * \frac{ -1 }{ 5 } = \frac{ 3 }{ 1 } *\frac{ -1 }{ 5 } = \frac{ 3*(-1) }{ 1*5 }\]

OpenStudy (shamil98):

i made a typo earlier it is: \[\huge \frac{ x^{2 * (-1/5)} }{ y^{3*(-1/5)} }\]

OpenStudy (shamil98):

multiply the numbers first.. what do you get?

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