a) \(3^2.\frac{1}{243}.81^2.\frac{1}{3^2}=\frac{1.81^2}{243}.\frac{3^2}{3^2}=\frac{6561}{243}.1=27\)

b, \(4^6.256^2.2^4=2^{12}.2^{16}.2^4=2^{32}\)

c)  \(A=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)(Mình rút gọn lun cho nhanh nhé ) \(\Rightarrow A=\frac{4}{5}\)

d) \(\Rightarrow B=70\)k cho mình nha Cô Nàng Họ Dương

Đây nhé : ý a,b mình đã giải thích rồi 

c) \(=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2.6}{3.5}=\frac{12}{15}=\frac{4}{5}\)\(\frac{4}{5}\)

d) \(=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3.\left(5+2\right)}{2^3.5^2}=2.5.7=70\)

\(B=\frac{4^2.25^2+32.125}{2^3.5^2}\)

   \(=\frac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^3}{2^3.5^2}\)

   \(=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}\)

   \(=\frac{2^3.5^2.\left(2.5^2+2^2.5\right)}{2^3.5^2}\)

   \(=2.5^2+2^2.5\)

   \(=2.25+4.5\)

\(=50+20=70\)

\(B=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=2.5.7=70\)

thanks nhiều

\(B=\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}\)

  \(=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=\frac{2^3.5^2.2.5.7}{2^3.5^2}=2.5.7=70\)

\(B=\frac{4^2.25^2+32.125}{2^3.5^2}\)

\(\Rightarrow B=\frac{2^3.5^3+2^5.5^3}{2^3.5^2}\)

\(\Rightarrow B=???\)

Để tính B bn rút gọn các số theo hàng chéo 

VD : 2^3 (phân số) rút gọn vs 2^3 (mẫu số)

tíc mình nha

= 14000 / 200

= 70 

Trả lời :

\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}=\frac{\left(2^2\right)^2\cdot\left(5^2\right)^2+2^5\cdot5^3}{2^3\cdot5^2}=\frac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}=\frac{2^3\cdot5^2\left(2\cdot5^2+2^3\cdot5\right)}{2^3\cdot5^2}\)

\(=2\cdot5^2+2^3\cdot5=2\cdot25+8\cdot5=50+40=90\)

\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}\)

\(B=\frac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}\)

\(B=\frac{2^4\cdot5^3\left(5+2\right)}{2^3\cdot5^2}\)

\(B=\frac{2^4\cdot5^3\cdot7}{2^3\cdot5^2}\)

B = 2 . 5 . 7

B = 70

Không chắc =))

\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}\)

\(\Rightarrow B=\frac{\left(2^2\right)^2\cdot\left(5^2\right)^2+2^5\cdot5^3}{2^3\cdot5^2}\)

\(\Rightarrow B=\frac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}\)

\(\Rightarrow B=\frac{2^3\cdot5^2\cdot\left(2\cdot5^2+2^2\cdot5\right)}{2^3\cdot5^2}\)

\(\Rightarrow B=2\cdot5^2+2^2\cdot5\)

\(\Rightarrow B=2\cdot25+4\cdot5\)

\(\Rightarrow B=50+20\)

\(\Rightarrow B=70\)

Làm 

\(\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=2.5.7=70\)