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Exponents — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsExponents2 Marks
Question
Simplify and express the following in exponential form:
$\Big(\frac{\text{x}}{\text{y}}\Big)^{12}\times\text{y}^{24}\times(2^3)^4$
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Answer

$\Big(\frac{\text{x}}{\text{y}}\Big)^{12}\times\text{y}^{24}\times(2^3)^4$
$=\Big(\frac{\text{x}^{12}}{\text{y}^{12}}\Big)\times\text{y}^{24}\times2^{12}$
$=\text{x}^{12}\times\text{y}^{24-12}\times2^{12}$
$=\text{x}^{12}\times\text{y}^{12}\times2^{12}$
$=(2\text{xy})^{12}$

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