# Simplify? 2^6/5^6xx3^6/4^6

$\frac{729}{1 , 000 , 000} = 0.000729$

#### Explanation:

We have

${2}^{6} / {5}^{6} \times {3}^{6} / {4}^{6}$

We can first combine the fractions:

$\frac{{2}^{6} \times {3}^{6}}{{5}^{6} \times {4}^{6}}$

We can rewrite ${4}^{6} = {\left({2}^{2}\right)}^{6} = {2}^{2 \times 6} = {2}^{12}$

$\frac{{2}^{6} \times {3}^{6}}{{5}^{6} \times {2}^{12}}$

And so can cancel the terms with base 2:

$\frac{{2}^{0} \times {3}^{6}}{{5}^{6} \times {2}^{6}} = {3}^{6} / \left({5}^{6} \times {2}^{6}\right)$

And from here we can evaluate the numbers:

• ${3}^{6} = 729$
• ${5}^{6} = 15625$
• ${2}^{6} = 64$

${3}^{6} / \left({5}^{6} \times {2}^{6}\right) = \frac{729}{15625 \times 64} = \frac{729}{1 , 000 , 000} = 0.000729$