Question

Simplify 12^4×9^3×4÷6^3×8^2×27
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Answer 1

Answer:

12*12*12*12*9*9*9*4/6*6*6*8*8*27=162

Answer 2

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Simplify : 12⁴ × 9³ × 4/ 6³ × 8² × 27

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✒Given : -

• 12⁴×9³×4/6³×8²×27

★ Refer the attachment for better Understanding ★

☛We have : -

$\leadsto\sf{\dfrac{{12}^{4}\times{{9}^{3}}\times{4}}{{6}^{3}\times{{8}^{2}}\times{27}}}=\dfrac{{(2}^{2}\times{{3)}^{4}}\times{{(3)}^{2}^{2}}\times{{2}^{2}}}{{(2\times{3}}^{3}\times{{(2)}^{3}}{2}\times{3}^{3}}}}$

$\leadsto\sf{\dfrac{{(2}^{2)}^{4}\times{(3)}^{4}\times{{3}^{2\times{3}}}\times{{2}^{2}}}{{2}^{3}\times{3}^{3}\times{{2}{2\times{3}}}\times{{3}^{3}}}}}=\dfrac{{2}^{8}\times{2}^{2}\times{3}^{4}\times{3}^{6}}{{2}^{3}\times{{2}^{6}}\times{3}^{3}\times{{3}^{3}}}</p><p>$

$\leadsto\sf{\dfrac{{2}^{8+2}\times{{3}^{4+6}}}{{2}^{3+6}\times{{3}^{3+3}}}=\dfrac{{2}^{10}\times{{3}^{10}}}{{2}^{9}\times{{3}^{6}}}}$

$\leadsto\sf{{2}^{10-9}\times{{3}^{10-6}={2}^{1}\times{{3}^{4}}}}$

$\leadsto\sf{2\times{81}}$

$\leadsto\sf{162}$

➦Therefore , Correct answer is 162 ..