Division to the power of.

Question

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504

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(6^7*6^3/6^5*6^2)^2

Guest Jun 17, 2014

+118723

+5

Best Answer

(6^7*6^3/6^5*6^2)^2

$$\left(\frac{6^7*6^3}{6^5*6^2}\right)^2\\\\
=\left(\frac{6^{10}}{6^7}\right)^2\\\\
=\left(6^3 \right)^2\\\\\
=6^6$$

$${{\mathtt{6}}}^{{\mathtt{6}}} = {\mathtt{46\,656}}$$

Melody Jun 18, 2014

Melody · Answer 1 · 2014-06-18T11:41:50

(6^7*6^3/6^5*6^2)^2

$$\left(\frac{6^7*6^3}{6^5*6^2}\right)^2\\\\
=\left(\frac{6^{10}}{6^7}\right)^2\\\\
=\left(6^3 \right)^2\\\\\
=6^6$$

$${{\mathtt{6}}}^{{\mathtt{6}}} = {\mathtt{46\,656}}$$