Giải thích các bước giải:

1.$\dfrac{2^5\cdot 16}{(2^2)^4}$

$=\dfrac{2^5\cdot 2^4}{2^8}$

$=\dfrac{2^9}{2^8}$

$=2$

2.$\dfrac{9^{14}}{3^{12}\cdot 27^6}$

$=\dfrac{(3^2)^{14}}{3^{12}\cdot (3^3)^6}$

$=\dfrac{3^{28}}{3^{12}\cdot 3^{18}}$

$=\dfrac{3^{28}}{3^{30}}$

$=\dfrac1{3^2}$

$=\dfrac19$

3.$\dfrac{8^3\cdot 5^3}{25^2\cdot (-2)^6}$

$=\dfrac{(2^3)^3\cdot 5^3}{(5^2)^2\cdot 2^6}$

$=\dfrac{2^9\cdot 5^3}{5^{4}\cdot 2^6}$

$=\dfrac{2^3}{5}$

$=\dfrac85$

4.$\dfrac{49^3\cdot 625}{7^7\cdot 5^2}$

$=\dfrac{(7^2)^3\cdot 5^4}{7^7\cdot 5^2}$

$=\dfrac{7^6\cdot 5^4}{7^7\cdot 5^2}$

$=\dfrac{5^2}{7}$

$=\dfrac{25}7$