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Mathematics 15 Online
OpenStudy (anonymous):

Simplify. Express the quotient as a radical expression.

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

\[\sqrt[9]{x}^7\div \sqrt[9]{x}^5\]

OpenStudy (anonymous):

http://openstudy.com/study#/updates/4ebcca9fe4b021de86e595a3 this will help. creditt goes to that person not me

OpenStudy (anonymous):

this time subtract the exponents \[\frac{7}{9}-\frac{5}{9}\] the denominators are the same so it is easy to subtract

OpenStudy (anonymous):

or you could note that \[\large \frac{\sqrt[9]{x^7}}{\sqrt[9]{x^5}}=\sqrt[9]{\frac{x^7}{x^5}}=\sqrt[9]{x^{7-5}}=\sqrt[9]{x^2}\]

OpenStudy (anonymous):

lol no not really but thanks

OpenStudy (anonymous):

you got more or are we done?

OpenStudy (anonymous):

i have... quite a bit ..

OpenStudy (anonymous):

Blasphemy

OpenStudy (anonymous):

lets knock one or two out before i turn in to a pumpkin

OpenStudy (anonymous):

why would you turn into a pumpkin what @satellite73

OpenStudy (anonymous):

a cindarella reference that is all

OpenStudy (anonymous):

that is all

OpenStudy (anonymous):

\[Simplify. Express the quotient as a rational exponent. x ^{4/5}\div x ^{1/3}\]

OpenStudy (anonymous):

Simplify. Express the quotient as a rational exponent.

OpenStudy (anonymous):

k this bud's for you what is \[\frac{4}{5}-\frac{1}{3}\]?

OpenStudy (anonymous):

hint, it is not \(\frac{3}{2}\)

OpenStudy (anonymous):

7/15?

OpenStudy (anonymous):

yeah thats what i had 7/15

OpenStudy (anonymous):

then you win \[x^{\frac{7}{15}}\] or if you prefer \[\sqrt[15]{x^7}\]

OpenStudy (anonymous):

👐

OpenStudy (anonymous):

<3

OpenStudy (anonymous):

maybe a few more?

OpenStudy (anonymous):

next...

OpenStudy (anonymous):

Simplify. Express the product as a rational exponent. \[(x ^{3/4})^3/^7\]

OpenStudy (anonymous):

the 3/7 is the exponent for x^34

OpenStudy (anonymous):

this time compute \[\frac{3}{4}\times \frac{3}{7}\]

OpenStudy (anonymous):

much easier to multiply fractions, just multiply

OpenStudy (anonymous):

9/28

OpenStudy (anonymous):

let me know when you get \[\frac{9}{28}\]

OpenStudy (anonymous):

so x^9/28 or....

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

or \[\large \sqrt[28]{x^9}\] if you like

OpenStudy (anonymous):

i seee i seeee

OpenStudy (anonymous):

de plane de plane

OpenStudy (anonymous):

Wow satellite you are the first lvl 100 I've seen

OpenStudy (anonymous):

now i have a question why on earth do you have to do this on a weekend in the middle of the summer?

OpenStudy (anonymous):

I've being held hostage by my school thats why

OpenStudy (anonymous):

pay the ransom

OpenStudy (anonymous):

one more then i go to sleep if you got one

OpenStudy (anonymous):

oh trust me i have one

OpenStudy (anonymous):

k take your time and hurry up

OpenStudy (anonymous):

simplify the expression \[3\div(5x)^{-2}\]

OpenStudy (anonymous):

\[\frac{3}{(5x)^{-2}}=3\times (5x)^2=75x^2\]

OpenStudy (anonymous):

gnight

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