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$Old$ April 20th, 2008, 04:43 PM

imbadatmath $imbadatmath is offline$

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$Default$ equivalent expressions with +exponents and smiplify

equivalent expressions with possitive exponents and smiplify

1. x^-1/3 read x raised to the negative one over 3
2.(5xy)^-5/6
3(1/8)^-1/3

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$Old$ April 20th, 2008, 06:12 PM

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equivalent expressions with possitive exponents and smiplify

1. x^-1/3 read x raised to the negative one over 3
2.(5xy)^-5/6
3(1/8)^-1/3

$x^{\frac{-x}{3}}=\frac{1}{x^{\frac{1}{3}}}$

$(5xy)^{\frac{-5}{6}}=\frac{1}{(5^{frac{5}{6}}x^{\frac{5}{6}}y^{\frac{5}{6}}}$

for the third one note that $\frac{1}{8}=\frac{1}{2^3}=2^{-3}$

therefore $\bigg(\frac{1}{8}\bigg)^{\frac{-1}{3}}=(2^{-3})^{\frac{-1}{3}}=2^{\frac{-1}{3}\cdot{-3}}=2^1=2$

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$Old$ April 20th, 2008, 06:17 PM

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thanks alot man

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$Old$ April 20th, 2008, 06:25 PM

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thanks alot man

No problem...you can thank those who help

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