Simplify this given expression to rational exponent form, justify each step by identifying the properties of rational exponents used.

Question

anonymous · Answer

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anonymous · Answer

My Answer: 

1/x^(3/(-6))  I turned the radical in the denominator into a rational exponent.

x^(3/6)/1 – I took the reciprocal of the above fraction.

x^(1/2) – I simplified

anonymous · Answer

Is this right?

jim_thompson5910 · Answer

it should be -6/3 = -2 in the exponent and NOT -3/6 = -1/2

jim_thompson5910 · Answer

so we then will have 

$$\large \frac{1}{x^{-2}}$$

which becomes

$$\large x^2$$

anonymous · Answer

Wouldn't I just flip the whole equation around and the exponent stay the same?

jim_thompson5910 · Answer

no the exponent will become positive once you flip the fraction

anonymous · Answer

Okay, thanks, I see what I did wrong now.

jim_thompson5910 · Answer

you're welcome