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anonymous
 one year ago
can someone help me find the power form of the reciprocal radical form 1/(3 sqrt.three(x^2))
anonymous
 one year ago
can someone help me find the power form of the reciprocal radical form 1/(3 sqrt.three(x^2))

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 1 }{ 3\sqrt[3]{x ^{2}}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you have a simple formula for radicals \[\sqrt[a]{x^b}=x^\frac{b}{a}\]dw:1444074783490:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Also \[x^n=\frac{1}{x^{n}} \space \space \space ; \space \space \space \frac{1}{x^n}=x^{n}\] Just add a minus sign to the exponent when u move the number from numerator to denominator or vice versa

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444075056599:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Johan14th r u there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes so then it would be x^ 2/3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[3x^{\frac{ 2 }{ 3 }}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no! you're not done yet!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{1}{3x^{\frac{2}{3}}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We need to bring the number to the top now!! dw:1444075590776:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay so then it is \[3x^{\frac{ 3 }{ 2 }}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and then i could apply the power rule right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm, you only change the sign, you leave the fraction unchanged, also the number 3 will stay in the bottom, if you want to bring the 3 to the top, you must write 1 to it's power \[\frac{1}{3x^{\frac{2}{3}}}=\frac{x^{\frac{2}{3}}}{3}=3^{1}x^{\frac{2}{3}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so basically adding the () to the power makes it go on to the top of the fraction, numerator. if i want to do the same to the 3 (too get rid of the fraction) i add the () to the power

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, anytime you bring a number or letter from top to bottom, or from bottom to top, you change the sign of it's power, very important, remember this rule

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for example if we had \[\frac{1}{3^{1}}\] If we bring it to the top it becomes \[\frac{1}{3^{1}}=3^{1}=3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay that just cleared everything out. thank you. i was trying too do some weird multiplication. you saved me!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you're absolutely welcome
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