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Exponents — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsExponents2 Marks
Question
Express the following as a rational number:
$(5^{-1}-7^{-1})^{-1}$
✓

Answer

$(5^{-1}-7^{-1})^{-1}=\Big(\frac{1}{5}-\frac{1}{7}\Big)^{-1}$
$=\Big(\frac{7-5}{35}\Big)^{-1}=\Big(\frac{2}{35}\Big)^{-1}$
$=\Big(\frac{35}{2}\Big)^{1}$
$=\frac{35}{2}$

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