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Ta có: \(\dfrac{7.12^8.5^4-6^9.20^4}{6^{10}.10^5-7.3^9.80^4}\)
\(=\dfrac{7.3^8.2^{16}.5^4-2^9.3^9.5^4.2^8}{2^{10}.3^{10}.2^5.5^5-7.3^9.2^{15}.2.5^4}\)
\(=\dfrac{2^{16}.5^4.3^8\left(7-2.3\right)}{2^{15}.3^9.5^4\left(15-7.2\right)}\)
\(=\dfrac{2^{15}.5^4.3^8.2}{2^{15}.3^8.3.5^4}\)
\(=\dfrac{2}{3}\).
7.12^8.5^4-6^9.20^4=7.96.20-54.80=9120
6^10.10^5-7,3^9.80^4=60.50-65.7.320=3000
ket qua rut gon thanh dap so 456 phan 150
a) 3/13 - 3/2 + 10/13
= (3/13 + 10/13) - 3/2
= 1 - 3/2
= -1/2
b) 4/7 - (-2/7) - 7/3
= 4/7 + 2/7 - 7/3
= 6/7 - 7/3
= -31/21
c) 2/3 - (-1/6) + 5/4
= 2/3 + 1/6 + 5/4
= 8/12 + 2/12 + 15/12
= 25/12
a, 3/13 - 3/2 + 10/13
= 3/13 + 10/13
= 1 - 3/2 = -1/2
b,4/7 - (-2/7) - 7/3
= 4/7 + 2/7 - 7/3
= 6/7 - 7/3
= 18/21 - 14/21
= 4/21
c, 2/3 - -1/6 +5/4
= 2/3 + 1/16 +5/4
= 128/192 + 12/192 + 240/192
= 380/192
= 95/4
không hiểu chỗ nào hỏi tui
Bạn cần viết đề bằng công thức toán để được hỗ trợ tốt hơn (biểu tượng $\sum$ góc trái khung soạn thảo)
\(a,\dfrac{5^{16}\cdot27^7}{125^5\cdot9^{11}}=\dfrac{5^{16}\cdot\left(3^3\right)^7}{\left(5^3\right)^5\cdot\left(3^2\right)^{11}}\)
\(=\dfrac{5^{16}\cdot3^{21}}{5^{15}\cdot3^{22}}=\dfrac{5}{3}\)
\(b,\left(-0,2\right)^2\cdot5-\dfrac{2^{13}\cdot27^3}{4^6\cdot9^5}\)
\(=0,04\cdot5-\dfrac{2^{13}\cdot\left(3^3\right)^3}{\left(2^2\right)^6\cdot\left(3^2\right)^5}\)
\(=0,2-\dfrac{2^{13}\cdot3^9}{2^{12}\cdot3^{10}}\)
\(=0,2-\dfrac{2}{3}\)
\(=-\dfrac{7}{15}\)
\(c,\dfrac{5^6+2^2\cdot25^3+2^3\cdot125^2}{26\cdot5^6}\)
\(=\dfrac{5^6+2^2\cdot\left(5^2\right)^3+2^3\cdot\left(5^3\right)^2}{5^6\cdot26}\)
\(=\dfrac{5^6+4\cdot5^6+8\cdot5^6}{5^6\cdot26}\)
\(=\dfrac{5^6\left(1+4+8\right)}{5^6\cdot26}\)
\(=\dfrac{13}{26}\)
\(=\dfrac{1}{2}\)
#\(Toru\)
\(a,\dfrac{5^{16}.27^7}{125^5.9^{11}}=\dfrac{\left(5^2\right)^8.9^7.3^7}{25^5.5^5.9^{11}}\\ =\dfrac{25^8.9^7.\left(3^2\right)^3.3}{25^5.\left(5^2\right)^2.5.9^{11}}=\dfrac{25^8.9^7.9^3.3}{25^5.25^2.5.9^{11}}\\ =\dfrac{25^8.9^{10}.3}{25^7.5.9^{11}}=\dfrac{25^7.9^{10}.25.3}{25^7.9^{10}.5.9}\\ =\dfrac{25.3}{5.9}=\dfrac{5.5.3}{5.3.3}=\dfrac{5}{3}\)
a)93/7:-3/7+178/7:3/7
3/7.(-93/7+178/7)=3/7.85/7=255/49
b)7.128.54-69.204/610.105-7.39.804
7.38.216.5429.39.54.28:210.310.25.55-7.39.216.54
=72.336.244.517