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Mathematics 15 Online
OpenStudy (horsegirl27):

I need help fast I will medal

OpenStudy (horsegirl27):

OpenStudy (horsegirl27):

idk how to do it at all and I need to finish my hw before 4...

OpenStudy (horsegirl27):

So please spend those 4 minutes helping me out!!!!

OpenStudy (horsegirl27):

help explain!!! @yaraam @Math2400 @MakaylaTracy

OpenStudy (studygurl14):

Rule of exponents and roots: \(\Large\sqrt[n]{x^m}=x^{\frac{m}{n}}\)

OpenStudy (studygurl14):

remember that \(\large\sqrt{x}=\sqrt[2]{x}\)

OpenStudy (horsegirl27):

ok thx

OpenStudy (studygurl14):

You're welcome. :)

OpenStudy (horsegirl27):

ok I'm jumping ahead a lot but is it A?

OpenStudy (horsegirl27):

or C?

OpenStudy (horsegirl27):

maybe?

OpenStudy (horsegirl27):

@StudyGurl14 could it be C?

OpenStudy (studygurl14):

C is incorrect. Can you show me how you got that answer?

OpenStudy (horsegirl27):

well idk how to do it so i kind of guessed and did 3*3 randomly and it's the only one with 9... yeah I guessed lol

OpenStudy (studygurl14):

Try using the information I gave you instead of guessing. You'll get better results. :p Let's do it together, okay? If \(\large \sqrt{x}=x^{1/2}\), what does \(\large\sqrt{3}\) equal?

OpenStudy (horsegirl27):

um... idk?

OpenStudy (studygurl14):

Let's look at the rule again... \(\Large\sqrt[n]{x^m}=x^{\frac{m}{n}}\) With \(\large\sqrt{3}\), you can see that \(\sf x = 3\), \(\sf n = 2\) (because \(\sqrt{x}=\sqrt[2]{x}\)), and \(\sf m=1\) (because \(3=3^1\)). So plug in those values into \(\large x^{\frac{m}{n}}\)

OpenStudy (studygurl14):

PS. This time try. I have a feeling you're not trying.

OpenStudy (horsegirl27):

ok so for x m/n.... 3 1/2

OpenStudy (horsegirl27):

because u said x=3 m=1 and n=2

OpenStudy (studygurl14):

Correct! So \(\large\sqrt{3}=3^{\frac{1}{2}}\)

OpenStudy (studygurl14):

Now you have \(\large\sqrt[5]{3}\), correct? What does that equal, if you apply the same logic?

OpenStudy (horsegirl27):

3 3/5?

OpenStudy (studygurl14):

Not quite. Almost though. Remember that \(3=3^1\)

OpenStudy (horsegirl27):

3 1/10

OpenStudy (studygurl14):

No. If \(\Large\sqrt[n]{x^m}=x^{\frac{m}{n}}\), and \(\Large\sqrt[5]{3}=\sqrt[5]{3^1}\), what does \(\large\sqrt[5]{3}\) equal?

OpenStudy (horsegirl27):

3 1/5

OpenStudy (studygurl14):

Correct. Now you have \(\Large (3^{\frac{1}{2}})(3^{\frac{1}{5}})\)

OpenStudy (studygurl14):

Another rule of exponents: \(\Large (x^{n})(x^{m})=x^{n+m}\)

OpenStudy (studygurl14):

Can you do the rest?

OpenStudy (horsegirl27):

So is my answer D?

OpenStudy (studygurl14):

Yep! Nice job!

OpenStudy (horsegirl27):

Thanks SO much! I was so lost, just tying to guess the final answer the whole time XD Thanks for explaining!

OpenStudy (studygurl14):

You're so welcome. I'm glad you understand now. :) Have a nice day and don't hesitate to tag me if you ever have another problem you need help with. Got to go each lunch now!

OpenStudy (horsegirl27):

Ok! Haha for me it's 4:26 pm. Well, time differences are annoying

OpenStudy (studygurl14):

:p

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