Bài 3. Thực hiện phép tính:a) $\frac{5^{4}\times2...

a) Cách giải 1:
$\frac{5^{4}\times20^{4}}{25^{5}\times4^{5}}=\frac{5^{4}\times 4^{4} \times 5^{4}}{5^{10} \times 4^{5}}=\frac{1}{100}$

Cách giải 2:
$\frac{5^{4}\times20^{4}}{25^{5}\times4^{5}}=\frac{5^{4}\times (4 \times 5)^{4}}{5^{10}\times4^{5}}=\frac{5^{4}\times 20^{4}}{5^{10}\times4^{5}}=\frac{1}{100}$

b) Cách giải 1:
$\frac{4^{3}\times25^{5}\times9^{3}}{8^{2}\times125^{3}\times3^{5}}=\frac{2^{6}\times5^{10}\times3^{6}}{2^{6}\times5^{9}\times3^{5}}=15$

Cách giải 2:
$\frac{4^{3}\times25^{5}\times9^{3}}{8^{2}\times125^{3}\times3^{5}}=\frac{4^{3}\times(5^2)^{5}\times(3^{2})^{3}}{(2^3)^{2}\times(5^3)^{3}\times3^{5}}=\frac{4^{3}\times5^{10}\times3^{6}}{2^{6}\times5^{9}\times3^{5}}=\frac{2^{6}\times5^{10}\times3^{6}}{2^{6}\times5^{9}\times3^{5}}=15$

c) Cách giải:
$\frac{6^{3}+3 6^{2}+3^{3}}{-13}=\frac{2^{3}\times3^{3}+3^{3}\times2^{2}+3^{3}}{-13}=\frac{3^{3}(2^{3}+2^{2}+1)}{-13}=-3^{3}=-27$

Đáp án:
a) $\frac{5^{4}\times20^{4}}{25^{5}\times4^{5}=\frac{1}{100}}$
b) $\frac{4^{3}\times25^{5}\times9^{3}}{8^{2}\times125^{3}\times3^{5}=15}$
c) $\frac{6^{3}+3 6^{2}+3^{3}}{-13}=-27$