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\(\frac{\left(70^{262}0.3^{595}7^02^{60}\right)}{\left(21^{599\div \frac{1}{0.5^{634}}}0.2^{692}\right)}\)

\frac{\left(70^{262}0.3^{595}7^02^{60}\right)}{\left(21^{599\div \frac{1}{0.5^{634}}}0.2^{692}\right)}

How should i go about simplifing this?

 Jan 4, 2017
 #1
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\(\dfrac{\left(70^{262}0.3^{595}7^02^{60}\right)}{\left(21^{599\div \frac{1}{0.5^{634}}}0.2^{692}\right)}\\ =\dfrac{7^{262}\cdot 10^{262}\cdot \frac{3^{595}}{10^{595}}\cdot 1\cdot 2^{60}}{7^{\frac{599}{2^{634}}}\cdot 3^{\frac{599}{2^{634}}}\cdot\frac{2^{692}}{10^{692}}}\\ =\dfrac{7^{262}}{7^{\frac{599}{2^{634}}}}\cdot \dfrac{10^{262}\cdot10^{692}}{10^{595}}\cdot\dfrac{3^{595}}{3^{\frac{599}{2^{634}}}}\cdot\dfrac{2^{60}}{2^{692}}\\ =7^{262-\frac{599}{2^{634}}}\cdot10^{359}\cdot 3^{595-\frac{599}{2^{634}}}\div 2^{632}\)

It cannot be simplified further...... You made it up right?

 Jan 4, 2017

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