anonymous
  • anonymous
Rewrite in simplest radical form X^5/6 over x^1/6 Show each step of your process.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@lizz123
lizz123
  • lizz123
@Ashleyisakitty
lizz123
  • lizz123
@jim_thompson5910

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More answers

anonymous
  • anonymous
@KEYS
jim_thompson5910
  • jim_thompson5910
|dw:1434411658371:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434411694412:dw|
jim_thompson5910
  • jim_thompson5910
since the bases are the same (both x), we can subtract the exponents (top - bottom) |dw:1434411735859:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434411774461:dw|
jim_thompson5910
  • jim_thompson5910
I'll let you finish up
anonymous
  • anonymous
x^4/6
anonymous
  • anonymous
yes? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you can then reduce 4/6 to get what?
anonymous
  • anonymous
2/3
jim_thompson5910
  • jim_thompson5910
correct |dw:1434412037037:dw|
anonymous
  • anonymous
But we aren't done right?
jim_thompson5910
  • jim_thompson5910
that's the final answer
jim_thompson5910
  • jim_thompson5910
we can't reduce 2/3 any further
anonymous
  • anonymous
|dw:1434412118662:dw|
jim_thompson5910
  • jim_thompson5910
ah they want you to convert to radical form
jim_thompson5910
  • jim_thompson5910
Rule: \[\LARGE x^{m/n} = \sqrt[n]{x^m}\]
jim_thompson5910
  • jim_thompson5910
m = 2 n = 3 \[\LARGE x^{m/n} = \sqrt[n]{x^m}\] \[\LARGE x^{2/3} = \sqrt[3]{x^2}\]
anonymous
  • anonymous
Okay:) Thank-you. Mind if I ask another?
jim_thompson5910
  • jim_thompson5910
sure go ahead
anonymous
  • anonymous
Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
jim_thompson5910
  • jim_thompson5910
what are your thoughts on it
anonymous
  • anonymous
|dw:1434412295575:dw|
anonymous
  • anonymous
That was the first equation, if u can read it
anonymous
  • anonymous
|dw:1434412377772:dw|
anonymous
  • anonymous
That's the 2nd one.
jim_thompson5910
  • jim_thompson5910
what are your thoughts on this? were you able to get started at all?
anonymous
  • anonymous
Ok so I don't think they are equal
jim_thompson5910
  • jim_thompson5910
and why is that?
anonymous
  • anonymous
because one is x^27
anonymous
  • anonymous
and I don't know about the other.
jim_thompson5910
  • jim_thompson5910
|dw:1434412588940:dw|
jim_thompson5910
  • jim_thompson5910
the first one, you use the rule \[\Large x^a*x^b = x^{a+b}\]
jim_thompson5910
  • jim_thompson5910
and you can extend out the rule the rule basically says "if the bases are the same, then you add the exponents" |dw:1434412649041:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434412662937:dw|
jim_thompson5910
  • jim_thompson5910
Or you can replace x with some small number, say x = 2 then compute x^3*x^3*x^3 and x^(3*3*3) to see if they are equal or not
anonymous
  • anonymous
x^9 for the second equation right?
jim_thompson5910
  • jim_thompson5910
|dw:1434412780279:dw|
anonymous
  • anonymous
So they aren't equal? Right?
jim_thompson5910
  • jim_thompson5910
yeah first one is x^9 the second is x^27
jim_thompson5910
  • jim_thompson5910
I would also use numbers in place of x to test too
anonymous
  • anonymous
Ok! That's a good idea!! :)
anonymous
  • anonymous
I have two more questions, and I'm done. Please?
jim_thompson5910
  • jim_thompson5910
I'll help with one more
anonymous
  • anonymous
Thank you:)
anonymous
  • anonymous
Which of the following expressions are equivalent? Justify your reasoning. A. 4√x3 B. 1/ x−1 C. 10√x^5•x^4•x^2 D. x^1/3 times x^1/3 times x^1/3
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
can you draw out answer C? it's hard to tell where the root ends
anonymous
  • anonymous
It's over the whole thing, except the 10
jim_thompson5910
  • jim_thompson5910
so it is \[\Large 10\sqrt{x^5*x^4*x^3}\] ???
anonymous
  • anonymous
Yes
jim_thompson5910
  • jim_thompson5910
what does \[\Large x^5*x^4*x^3\] simplify to?
anonymous
  • anonymous
x^11
jim_thompson5910
  • jim_thompson5910
close
jim_thompson5910
  • jim_thompson5910
oh wait I have the wrong digit
jim_thompson5910
  • jim_thompson5910
it should be \[\Large 10\sqrt{x^5*x^4*x^2}\]
jim_thompson5910
  • jim_thompson5910
so yeah, 11
jim_thompson5910
  • jim_thompson5910
ok I see the answer now
jim_thompson5910
  • jim_thompson5910
what does x^1/3 times x^1/3 times x^1/3 simplify to?
anonymous
  • anonymous
x^3/3
jim_thompson5910
  • jim_thompson5910
the 3/3 turns into 1/1 or just 1 x^1 = x
jim_thompson5910
  • jim_thompson5910
so in the end, x^1/3 times x^1/3 times x^1/3 turns into just x
jim_thompson5910
  • jim_thompson5910
does choice B say this \[\Large \frac{1}{x^{-1}}\] ??
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
so, \[\Large \frac{1}{x^{-1}} = \frac{1}{1/x} = \frac{x}{1} = x\]
anonymous
  • anonymous
Ok
anonymous
  • anonymous
so, b and d basically
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
Thank-you so much for all your help:)
jim_thompson5910
  • jim_thompson5910
yw

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