Question 212536
as best I can determine, your answer would be:
{{{1/(x^8-1)}}}
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here's how:
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your equation is:
{{{((x^-8)+(x^-16))/(1-x^-16)}}}
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since {{{x^(-a) = 1/x^a}}} your equation becomes:
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your equation becomes:
{{{(1/x^8 + 1/x^16)/(1-1/x^16)}}}
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multiply numerator and denominator by {{{x^16}}} to get:
{{{(x^8+1)/(x^16-1)}}}
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factor denominator to get:
{{{(x^8+1)/((x^8+1)*(x^8-1))}}}
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equation becomes:
{{{1/(x^8-1)}}}