a) \(\frac{4^2.4^3}{2^{10}}=\frac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\frac{2^4.2^6}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)

b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\left(0,2.3\right)^5}{\left(0,2\right)^6}=\frac{3^5.0,2^5}{0,2^6}=\frac{3^5}{0,2}=\frac{243}{0,2}=1215\)

c) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3}{2^{11}}=\frac{3}{2^4}=\frac{3}{16}\)

d) \(\frac{6^3+3.6^2+3^3}{-13}=\frac{6^2\left(6+3\right)+3^3}{-13}=\frac{6^2.9+3^2}{-13}=\frac{3^2\left(6^2+1\right)}{-13}=\frac{9.37}{-13}=\frac{333}{-13}\)

a,\(\frac{4^2.4^3}{2^{10}}=\frac{4^5}{2^{10}}=\frac{4^5}{4^5}=1\)

\(\frac{\left(0.6\right)^5}{\left(0.2\right)^6}=1215\)

còn lại làm đc mà

\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\left(0,2\right)^5\cdot3^5}{\left(0,2\right)^6}=\frac{3^5}{0.2}=243:\frac{1}{5}=1215\)

\(\frac{2^7\cdot9^3}{6^5\cdot8^2}=\frac{2^7\cdot\left(3^2\right)^3}{2^5\cdot3^5\cdot\left(2^3\right)^2}=\frac{2^7\cdot3^6}{2^{11}\cdot3^5}=\frac{3}{2^4}=\frac{3}{16}\)

câu cuối ko bt

Xin lỗi vì đã ns dối, ko phải tớ ko bt giải mà là tại mama kêu ghê quá nên ko kịp viết lời giải câu cuối !

\(\frac{6^3+3\cdot6^2+3^3}{-13}=\frac{2^3\cdot3^3+3\cdot2^2\cdot3^2+3^3}{-13}=\frac{2^3\cdot3^3+3^3\cdot2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{27\cdot13}{-13}=-27\)

Ko sao nhưng học mà cũng bị kêu mama bn chắc dữ lắm

a.ta có :4^2.4^3/2^10=2^4.2^6/2^10=2^10/2^10=1

b. ta co :(0,6)^5/(0,2)^5=(0,6/0,2)^5=3^5=243

a) \(\frac{4^2.4^3}{2^{10}}=\frac{4^5}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)

b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^5}=\left(\frac{0,6}{0,2}\right)^5=3^5=243\)

c) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3^6}{2^{11}.3^5}=\frac{3}{2^4}=\frac{3}{16}\)

d) \(\frac{6^3+3.6^2+3^3}{-13}=\frac{2^3.3^3+3^3.2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{27.13}{-13}=-27\)

e) \(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.2^8.5^4}{5^{10}.2^{10}}=\frac{2^8.5^8}{5^{10}.2^{10}}=\frac{\left(2.5\right)^8}{\left(5.2\right)^{10}}=\frac{10^8}{10^{10}}=\frac{1}{10^2}=\frac{1}{100}\)

b)\(\frac{0,6^5}{0,2^6}=\frac{0,2^5.0,3^5}{0,2^6}=\frac{0,3^5}{0,2}=0,01215\)

a/  \(\frac{4^2.4^3}{2^{10}}=\frac{16.64}{1064}=\frac{384}{1064}=\frac{3}{8}\)                                           b/  \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\frac{243}{3125}}{\frac{1}{15625}}=1215\)

c/  \(\frac{2^7.9^3}{6^5.8^2}=\frac{128.729}{7776.64}=\frac{93312}{497664}=\frac{3}{16}\)                                  d/  \(\frac{6^3+3.6^2+3^3}{-13}=\frac{216+3.36+27}{-13}=\frac{216+108+27}{-13}=\frac{351}{-13}=-27\)

a)\(\frac{4^2\times4^3}{2^{10}}=\frac{4^{2+3}}{\left(2^2\right)^5}=\frac{4^5}{4^5}=1\)