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Indices and Logarithms — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsIndices and Logarithms1 Mark
Question
$x^{a-b} \times x^{b-c} \times x^{c-a}$ is equal to _________________
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Answer

1, because
$\begin{aligned} x^{a-b} \times x^{b-c} \times x^{c-a}= & x^{a-b+b-c+c-a} \\ & \quad\left[ Using a^m \times a^n=a^{m+n}\right] \\ = & x^0=1 .\end{aligned}$

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