#1397 · Algebra · Sequences & series

Fifth term with fractional powers

Find and simplify the $5^{th}$ term of $(\frac{x ^{\frac{3}{2}}}{a ^{\frac{1}{2}}} - \frac{y ^{\frac{5}{2}}}{b ^{\frac{3}{2}}})^{8}$ .

~6 minAnswer checked instantlybinomial theoremfractional exponents

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIII. Binomial Theorem: Positive Integral Index, Examples XIII.a, No. 20

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).