Question

simplify:

$\frac{3^{-5}\times {10}^5\times {125}^{-1}}{5^{-7}\times 6^5}$

Answer 1

We have,

Let $a=\frac{3^{-5}\times {10}^5\times {125}^{-1}}{5^{-7}\times 6^5}$

$=\frac{{10}^5\times 5^7}{{125}^1\times 3^5\times 6^5}$

$=\frac{78125\times 100000}{125\times 243\times 7776}$

$=\frac{62500000}{1889568}$

$a=33.07$

$\therefore \frac{3^{-5}\times {10}^5\times {125}^{-1}}{5^{-7}\times 6^5}=33.07$