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The cubed root of 81x^13y^15 / 8x^9y^7?

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the 81x^13y^15 is in the numerator and 8x^9y^7 is in the denominator thanks!!! simplest form please thanks.
asked Apr 20, 2013 in ALGEBRA 2 by chrisgirl Apprentice
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3 root of fraction numerator 81 x to the power of 13 open parentheses y close parentheses to the power of 15 over denominator 8 x to the power of 9 open parentheses y close parentheses to the power of 7 end fraction end root equal 1 over 2 3 root of fraction numerator 81 x to the power of 13 open parentheses y close parentheses to the power of 15 over denominator x to the power of 9 open parentheses y close parentheses to the power of 7 end fraction end root

space space space space space space space space space space space space space space space space space space space equal 1 over 2 3 root of fraction numerator 81 x to the power of 13 minus 9 end exponent open parentheses y close parentheses to the power of 15 minus 7 end exponent over denominator 1 end fraction end root         (Apply the power rule)            

space space space space space space space space space space space space space space space equal 1 over 2 3 root of fraction numerator 81 x to the power of 4 open parentheses y close parentheses to the power of 8 over denominator 1 end fraction end root

space space space space space space space space space space space space space space space equal 1 over 2 3 root of fraction numerator 3 to the power of 4 x to the power of 4 open parentheses y close parentheses to the power of 8 over denominator 1 end fraction end root

space space space space space space space space space space space space space space space equal 1 over 2 3 root of fraction numerator open parentheses 3 x close parentheses to the power of 4 open parentheses y close parentheses to the power of 8 over denominator 1 end fraction end root

space space space space space space space space space space space space space space space equal 1 over 2 open parentheses 3 x close parentheses to the power of 4 over 3 space space end exponent y to the power of 8 over 3 end exponent

space space space space space space space space space space space space space space space equal 1 over 2 open parentheses 3 x y to the power of 2 close parentheses to the power of 4 over 3 space space end exponent

answered Apr 23, 2013 by diane Scholar
reshown Apr 24, 2013 by moderator

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