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anonymous
 one year ago
Rewrite in simplest radical form
1
x
−3
6
. Show each step of your process.
anonymous
 one year ago
Rewrite in simplest radical form 1 x −3 6 . Show each step of your process.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437531698638:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0First, I would reduce the exponent of x. What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right on. So now you have\[\frac{ 1 }{ x ^{\frac{ 1 }{ 2 }} }\]Is that right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK, I hope you will agree that\[\frac{ 1 }{ x ^{\frac{ 1 }{ 2 }} } = \left( \frac{ 1 }{ x } \right)^{\frac{ 1 }{ 2 }}\]You OK with that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Perfect. Now, to invert the base, you must change the sign of the exponent. For example,\[3^{2} = \left( \frac{ 1 }{ 3 } \right)^{2}\] or\[\left( \frac{ 1 }{ 4 } \right)^{5} = 4^{5}\]Gwt the idea? You need to do the same thing with\[\left( \frac{ 1 }{ x } \right)^{\frac{ 1 }{ 2 }}\]What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Don't invert the exponent, just change its sign. Invert the BASE, and change the sign on the EXPONENT. Try again?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x to the power of 1/2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Perfect. Now write it in radical form.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In general, fractional exponents are written in radical form like this:\[x ^{\frac{ a }{ b }} = \sqrt[b]{x ^{a}}\]
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