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\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\)
\(=\frac{2^{19}.3^9+2^{18}.3^9.5}{2^{19}.3^9+2^{19}.2.3^9.3}\)
\(=\frac{2^{18}.3^9.\left(2+5\right)}{2^{19}.3^9.\left(1+6\right)}\)
\(=\frac{7}{2.7}\)
\(=\frac{1}{2}\)
\(\dfrac{1}{4}-\dfrac{1}{3}+\dfrac{5}{12}\\ =\dfrac{3}{12}-\dfrac{4}{12}+\dfrac{5}{12}\\ =\dfrac{3-4+5}{12}\\ =\dfrac{4}{12}\\ =\dfrac{1}{3}\)
a / 81+19+243
= 100+243
=343
b/ = 67 +129+133-29
= 67+133+129-29
= 200-100
= 100
c / = 75 x ( 16+84)-500
= 75 x 100-500
= 7500-500
= 7000
73 . 35 + 27 . 19 - 20 . 73 + 81 . 27 + 85 . 73
= 73 . ( 35 - 20 + 85 ) + 27. ( 19 + 81 )
= 73 . 100 + 27. 100
= ( 73 + 27 ) . 100
= 100 . 100
= 10 000
Tách hai dấu ngoặc thành hai vế A và B
Ta có :
A=5.415.99-4.320.89=5.230.318-22.227.320
=229.318(2.5-32)=229.318
B=5.29.619-7.229.276=5.29.219.319-7.229.318
=228.318(5.3-7.2)=228.318
=>A:B=229.318:228:318=2
\(125.\left(28+72\right)-25.\left(3^2.4+64\right)\)
\(=125.100-25.\left(9.4+64\right)\)
\(=125.100-25.\left(36+64\right)\)
\(=125.100-25.100\)
\(=100.\left(125-25\right)\)
\(=100.100\)
\(=10000\)
\(3.5^2-64:2^3\)
\(\Leftrightarrow75-8\)
\(\Rightarrow67\)
\(17.81+19.17+210\)
\(\Leftrightarrow17.\left(81+19\right)+210\)
\(\Leftrightarrow17.100+210\)
\(\Leftrightarrow1700+210\)
\(\Leftrightarrow1910\)