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\(\frac{2^5.7+2^5}{2^5.5^2-2^5.3}=\frac{2^5.\left(7+1\right)}{2^5.\left(5^2-3\right)}=\frac{8}{25-3}=\frac{8}{22}=\frac{4}{11}\)
\(\frac{3^4.5-3^6}{3^4.13+3^4}=\frac{3^4.\left(5-3^2\right)}{3^4.\left(13+1\right)}=\frac{5-9}{14}=\frac{-4}{14}=\frac{-2}{7}\)
\(\frac{-2}{7}=\frac{-22}{77}\)
\(\frac{4}{11}=\frac{28}{77}\)
\(A=\frac{7.5^3.4^2}{5^7.25}=\frac{7.5^3.2^4}{5^7.5^2}=\frac{7.5^3.2^4}{5^9}=\frac{7.16}{5^6}=\frac{112}{15625}\)
Bài 1:
a) \(\frac{13.23-13}{26.21+26}\)=\(\frac{13.22}{26.22}\)=\(\frac{13}{26}\)=\(\frac{1}{2}\)
b) \(\frac{16.21-16}{4.19+4}\)=\(\frac{16.20}{4.20}\)=\(\frac{16}{4}\)= 4
\(\frac{2^4\cdot3^5}{6^4}\)
\(=\frac{2^4\cdot3^5}{2^4\cdot3^4}\)
\(=\frac{2̸^4\cdot3̸^4\cdot3}{2̸^4\cdot3̸^4}\)
\(=3\)
\(\frac{2^4.3^5}{6^4}=\frac{2^4.3^4.3}{6^4}=\frac{\left(2.3\right)^4.3}{6^4}=\frac{6^4.3}{6^4}=3\)
Ta có:
\(8^3:8^4=\left(2^3\right)^3:\left(2^3\right)^4\)
\(=2^9:2^{12}=2^{9-12}=2^{-3}\)
Hình như có gì sai sai đó
\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{\left(-2\right)^3.3^3.5^3.7.2^3}{3.2^4.5^3.2.7}=\)\(\frac{\left(-2\right)^6.3^3.5^3.7}{3.2^5.5^3.7}=\frac{-2.3^2}{1}=-18\)
~~~ học tốt ~~~