rút gọn ( 2*8^4*27^2 +4*6^9)/(2^7*6^7+2^7*40*9^4)
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\(TS\)\(=\)\(2.8^4.27^2+4.6^9\)
\(=2.\left(2^3\right)^4.\left(3^3\right)^2+2^2.\left(2.3\right)^9\)
\(=2.2^{12}.3^6+2^2.2^9.3^9\)
\(=2^{13}.3^6+2^{11}.3^9\)
\(=2^{11}.3^6.\left(2^2+3^3\right)\)
\(=2^{11}.3^6.31\)
\(MS\) \(=\) \(2^7.6^7+2^7.40.9^4\)
\(=2^7.\left(2.3\right)^7+2^7.2^3.5.\left(3^2\right)^4\)
\(=2^7.2^7.3^7+2^{10}.5.3^8\)
\(=2^{10}.3^7.\left(2^4+3.5\right)\)
\(=2^{10}.3^7.31\)
Vậy \(\frac{TS}{MS}\)\(=\)\(\frac{2^{11}.3^6.31}{2^{10}.3^7.31}\)\(=\)\(\frac{2}{3}\)
a.
=(5^7+5^9)(6^8+6^10)(16-4^2)
=(5^7+5^9)(6^8+6^10)(16-16)
=(5^7+5^9)(6^8+6^10).0
=0
Bài 2:
a: 2/6x5/3=10/18=5/9
b: 11/9x5/10=55/90=11/18
c: 3/9x6/8=1/3x3/4=1/4
d: 4/9x12/16=48/144=1/3
e: 25/15x6/7=5/3x6/7=30/21=10/7
f: 6/10x15/20=90/200=9/20
Bài 1
4/5 x 6/7= 24/35
2/9 x 1/2= 2/18= 1/9
1/2 x 8/3= 8/6= 4/3
7/9 x 6/5= 42/45= 14/15
8/7 x 5/9= 40/63
10/11 x 22/15= 220/165= 4/3
Bài 2
2/6 x 5/3= 1/3 x 5/3=5/9
11/9 x 5/10= 11/9 x 1/2= 11/18
3/9 x 6/8= 1/3 x 3/4 =3/12= 1/4
4/9 x 12/16= 4/9 x 3/4= 12/36= 1/3
25/15 x 6/7= 5/3 x 6/7= 30/21= 10/7
6/10 x 15/20= 3/5 x 3/4= 9/20