Ta có: \(\dfrac{7.12^8.5^4-6^9.20^4}{6^{10}.10^5-7.3^9.80^4}\)
\(=\dfrac{7.3^8.2^{16}.5^4-2^9.3^9.5^4.2^8}{2^{10}.3^{10}.2^5.5^5-7.3^9.2^{15}.2.5^4}\)
\(=\dfrac{2^{16}.5^4.3^8\left(7-2.3\right)}{2^{15}.3^9.5^4\left(15-7.2\right)}\)
\(=\dfrac{2^{15}.5^4.3^8.2}{2^{15}.3^8.3.5^4}\)
\(=\dfrac{2}{3}\).
\(\dfrac{7.12^8.5^4-6^9.20^4}{6^{10}.10^5-7.3^9.80^4}\)
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Tính:
a) 43 . 53 e) 52 . 62. 32
b)63 . 53 f) \(\dfrac{45^{10^{ }}.5^{10}}{75^{10}}\)
c)82 . 52 i)\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
d) 1253 . 83 h) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
g)\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
Tính
a) \(\dfrac{-2}{3}+\dfrac{3}{4}-\dfrac{-1}{6}+\dfrac{-2}{5}\)
b) \(\dfrac{-2}{3}+\dfrac{-1}{5}+\dfrac{3}{4}-\dfrac{5}{6}-\dfrac{-7}{10}\)
Tính
A=\(\dfrac{4.5^{10}.5^{10}}{75^{10}}\) B=\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
C=\(\dfrac{2^{15}.9^4}{6^6.8^3}\) D=\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
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b) -x - 2 = \(\dfrac{5}{4}\) c) \(\dfrac{4}{3}-\left(x-\dfrac{1}{5}\right)=\left|\dfrac{-3}{10}+\dfrac{1}{2}\right|-\dfrac{1}{6}\) d) \(\dfrac{1}{3}-\left(\dfrac{2}{3}-x+\dfrac{5}{4}\right)=\dfrac{7}{12}-\left(\dfrac{5}{2}-\dfrac{13}{6}\right)\)
Tính
a, A = \(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
b, B = \(\left(\dfrac{3}{7}.\dfrac{4}{15}+\dfrac{1}{3}.9^{15}\right).\dfrac{1}{3}.\dfrac{6^8}{12^4}\)
c, C = \(\dfrac{10^4.81-16.15^2}{4^4.675}\)
a,\(\dfrac{5^4.20^4}{25^5.4^5}\)
b,\(\dfrac{2^7.9^3}{6^5.8^2}\)
c,\(\dfrac{45^{10}.5^{20}}{75^5}\)
d,\(\left(0,8\right)^5\)
e,\(\dfrac{2^{15}.9^4}{6^6.8^3}\)
f,\(\dfrac{8^{20}+4^{20}}{4^{25}+64^5}\)
1, So sánh A và B biết A=\(\dfrac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\) B=\(\dfrac{4}{35}+\dfrac{4}{63}+\dfrac{4}{99}+\dfrac{4}{143}+\dfrac{4}{195}\) ( GIÚP Mk Với Mk Đang Cần Gấp )
Cho B=\(\dfrac{1}{2}.\dfrac{3}{4}.\dfrac{5}{6}...\dfrac{99}{100}\). Chứng minh 1/15<B<1/10
