= \(\frac{5^6.5^5}{6.5^{10}}\) = \(\frac{5^{11}}{6.5^{10}}\)= \(\frac{5}{6}\)

\(\frac{25^3.5^5}{6.5^{10}}\)=\(\frac{5^{11}}{6.5^{10}}\)=\(\frac{5}{6}\)

ok 100% chính xác

\(\frac{25^3\cdot5^5}{6\cdot5^{10}}=\frac{25^3}{6\cdot5^5}\)

\(\frac{\left(5^2\right)^3}{6\cdot5^5}=\frac{5^6}{6\cdot5^5}=\frac{5}{6}\)

\(A=\frac{25^3.5^5}{6.5^{10}}=\frac{\left(5^2\right)^3.5^5}{6.5^{10}}=\frac{5^6.5^5}{6.5^{10}}=\frac{5^{11}}{6.5^{10}}=\frac{5}{6}\)

\(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.2^3.3^3}{\left(2^3\right)^2.\left(3^2\right)^2}=\frac{2^8.3^3}{2^6.3^4}=\frac{4}{3}\)

\(A=\frac{25^3.5^3}{6.5^{10}}=\frac{5^6.5^3}{6.5^{10}}=\frac{5^9}{6.5.5^9}=\frac{1}{30}\)
\(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.2^3.3^3}{2^6.3^4}=\frac{2^8.3^3}{2^6.3^4}=\frac{2^2}{3}=\frac{4}{3}\)
\(C=\frac{15^3+5.15^2-5^3}{18^3+6.18^2-6^3}=\frac{5^3\left(3^3+3^2-1\right)}{6^3\left(3^3+3^2-1\right)}=\frac{5^3}{6^3}\)

\(a.\frac{4^3.1^5}{9^2.8^2}=\frac{2^6.1}{3^4.2^6}=\frac{1}{81}\)

\(b.\frac{25^2.2^2.4^1}{3^3.2^3.224}=\frac{5^4.2^4}{3^3.2^8.7}=\frac{5^4}{3^3.2^4.7}=\frac{625}{3024}\)

\(c.\frac{25^3.5^6.5^2}{9^4.10^2}=\frac{5^{14}}{3^8.2^2.5^2}=\frac{5^{10}}{3^8.2^2}\)

a , 10⁶       b , 40²         c 20³                   d,90²             e , 5⁴               g , 21⁸

#)Giải :

a)\(2^6.5^6=\left(2.5\right)^6=10^6\)

b)\(8^2.5^2=\left(8.5\right)^2=40^2\)

c)\(4^3.5^3=\left(4.5\right)^3=20^3\)

d)\(5^2.6^2.3^2=\left(5.6.2\right)^2=60^2\)

e)\(\frac{625^5}{25^8}=\frac{\left(25^2\right)^5}{25^8}=\frac{25^{10}}{25^8}=25^2\)

g)\(\frac{3^9}{7}.\frac{7^9}{3}=\frac{\left(3.7\right)^9}{7.3}=\frac{21^9}{21}=21^8\)

a) 2⁶ . 5⁶ = (2.5)⁶ = 10⁶

b) 8².5² = (8.5)²   = 40²

c) 4³.5³ = (4.5)³   = 20³

d) 5².6².3² = (5.6.2)² = 60²

e) \(\frac{625^5}{25^8}=\frac{\left(25^2\right)^5}{25^8}=\frac{25^{2.5}}{25^8}=\frac{25^{10}}{25^8}=\frac{25^8.25^2}{25^8}=25^2=625\)

g) \(\frac{3^9}{7}.\frac{7^9}{3}=\frac{3^9.7^9}{7.3}=\frac{\left(7.3\right)^9}{7.3}=\frac{21^9}{21}=21^8\)

\(\frac{2^2.3^3.5^7}{2^3.3^4.5^6}=\frac{1.1.5}{2.3.1}=\frac{5}{6}\)

Làm tương tự 

\(6.5+1.2+3.5-5.2+6.5-4.8\)

\(=30+2+15-10+30-32\)

\(=\left(30+2\right)+\left(15-10+30\right)-32\)

\(=32+35-32\)

\(=\left(32-32\right)+35\)

\(=0+35\)

\(=35\)

a . Ta có : \(A=\frac{25^3.5^5}{6.5^{10}}=\frac{5^{11}}{6.5^{10}}=\frac{5}{6}\)

b . Ta có : \(B=\frac{2^6.6^3}{8^2.9^2}=\frac{2^5.\left(2.3\right)^3}{\left(2^3\right)^2.\left(3^2\right)^2}=\frac{2^8.3^3}{2^6.3^4}=\frac{4}{3}\)

c . Ta có :

    \(C=\frac{15^3+5.15^2-5^3}{18^3+6.18^2-6^3}=\frac{\left(3.5\right)^3+5.\left(3.5\right)^2-5^3}{\left(6.3\right)^3+6.\left(3.6\right)^2-6^3}=\frac{5^3.\left(3^3-3^2-1\right)}{6^3.\left(3^3+3^2-1\right)}=\frac{5^3}{6^3}\)

d . Ta có :

      \(D=\frac{\left(7^4-7^3\right)^2}{49^3}=\frac{7^4-7^3}{49^3}.\left(7^4-7^3\right)=\left(\frac{7^4}{49^3}-\frac{7^3}{49^3}\right).\left(7^4-7^3\right)\)

          \(=\left(\frac{7^4}{7^6}-\frac{7^3}{7^6}\right).\left(7^4-7^3\right)=\left(\frac{1}{7^2}-\frac{1}{7^3}\right).\left(7^4-7^3\right)\)   

          \(=\frac{6}{7^3}.\left(7^4-7^3\right)=\frac{6}{7^3}.7^3.\left(7-1\right)=36\)
 

a) \(A=\frac{\left(5^2\right)^3.5^5}{6.5^{10}}=\frac{5^6.5^5}{6.5^{10}}=\frac{5^{11}}{6.5^{10}}=\frac{5}{6}\)

b) \(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.\left(2.3\right)^3}{\left(2^3\right)^2.\left(3^2\right)^2}=\frac{2^5.2^3.3^3}{2^6.3^4}=\frac{2^8.3^3}{2^6.3^4}=\frac{2^2}{3}=\frac{4}{3}\)

a) \(A=\frac{25^5.5^5}{6.5^{10}}\)=\(\frac{\left(5^2\right)^3.5^5}{6.5^{10}}=\frac{5^6.5^5}{6.5^{10}}=\frac{5^{11}}{6.5^{10}}=\frac{5}{6}\)

b)\(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.\left(2.3\right)^3}{\left(2^3\right)^2.\left(3^2\right)^2}=\frac{2^5.2^3.3^3}{2^6.3^4}=\frac{2^8.3^3}{2^6.3^4}=\frac{2^2}{3}=\frac{4}{3}\)

c)\(C=\frac{15^3+5.15^2-5^3}{18^3+6.18^2-6^3}=\frac{\left(3.5\right)^3+5.\left(3.5\right)^2-5^3}{\left(3.6\right)^3+6.\left(3.6\right)^2-6^3}\)=\(\frac{3^3.5^3+5.3^2.5^2-5^3}{3^3.6^3+6.3^2.6^2-6^3}=\frac{5^3.\left(3^3+3^2-1\right)}{6^3.\left(3^3+3^2-1\right)}=\frac{5^3}{6^3}=\frac{125}{216}\)

d)\(D=\frac{\left(7^4-7^3\right)^2}{49^3}=\frac{2058^2}{\left(7^2\right)^3}=\frac{7^3.6}{7^6}=\frac{6}{7^3}=\frac{6}{343}\)

bằng 10 bn ạ

=45 kb nha !!

6.5+3.5=30+15=45 nha bn