#1473 · Algebra · Exponentials & logarithms

Approximation Neglecting Higher Powers

If $x$ be so small that its square and higher powers may be neglected, find the value of $(1 - 7 x)^{\frac{1}{3}} (1 + 2 x)^{\frac{3}{4}}$ .

~5 minAnswer checked instantlyBinomial TheoremLinear Approximation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 27

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