Rút gọn biểu thức:
a) \(\frac{3^7.5^4}{25^2}\)
b) \(\frac{2^4.2^6.3^8.9^2}{4^4.3^{11}}\)
c) \(\frac{3.9^4-9^3}{3^3.9}\)
Những câu hỏi liên quan
Thực hiện phép tính: \(B=\frac{2^6.3^5-9^2.4^3}{4^3.9^2-3^4.8^2}\)
\(=\frac{\left(2^2\right)^3.3^5-\left(3^2\right)^2.4^3}{\left(2^2\right)^3.9^2-\left(3^2\right)^2.\left(2^3\right)^2}=\frac{4^3.3^5-3^4.4^3}{2^6.9^2-9^2.2^6}=\frac{4^3.\left(3^5-3^4\right)}{9^2.\left(2^6-2^6\right)}=\frac{162}{0}\)
phps tính không hợp lệ vì không tồn taij phân số có mẫu bằng 0
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Rút gọn
C = \(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
D = \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}\)
E = \(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
c: \(C=\dfrac{\left(\dfrac{2}{5}\cdot5\right)^7+\dfrac{9^3}{4^3}:\dfrac{3^3}{16^3}}{2^7\cdot5^2+2^9}=\dfrac{1+1728}{3712}=\dfrac{1729}{3712}\)
\(D=\dfrac{2^{12}\cdot3^5-2^{12}\cdot3^4}{2^{12}\cdot3^6+2^{12}\cdot3^5}=\dfrac{3^5-3^4}{3^6+3^5}=\dfrac{3^4\left(3-1\right)}{3^5\left(3+1\right)}=\dfrac{2}{3\cdot4}=\dfrac{2}{12}=\dfrac{1}{6}\)
\(E=\dfrac{5^{10}\cdot7^3-5^{10}\cdot7^4}{5^9\cdot7^3+5^9\cdot7^3\cdot2^3}=\dfrac{5^{10}\cdot7^3\cdot\left(-6\right)}{5^9\cdot7^3\cdot9}=5\cdot\dfrac{-2}{3}=\dfrac{-10}{3}\)
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Rút gọn biêu thức
A=3^2.45^4-15^3.9^3/3^3.45^4-5^4.3^10
B=6^30.3^11.7-2^31.5.3^40/2^28.17.3^38-6^27.3^11
C=35.27^8+70.9^11/15.81^6-60.3^20
D=4^6.6^7-9^3.8^6/12^5.2^8+18^3.32^3
rút gọn rồi quy đồng các phân số sau đây:
a) \(\frac{7.12^3+2.12^3}{4^6.3^{11}};\frac{-17.10+17.6}{18.11+18.6};\frac{6.7.8.10}{9.12.14.15}\)
b) \(\frac{4.3^9+8.\left(-3\right)^7}{\left(-3\right)^{10}+20.\left(-3\right)^7};\frac{5^6.8-5^7}{5^8-7.5^6};\frac{-1997.1996+1}{-1995.\left(-1997\right)+1996}\)
Rút gọn biểu thức sau theo cách hợp lí:
P= \(\frac{2^{12}.3^5-4^6.3^6}{2^{12}.9^3+8^4.3^5}\)
\(\frac{2^{12}\cdot3^5-\left(2^2\right)^6.3^5.3}{2^{12}.\left(3^2\right)^3+\left(2^3\right)^4.3^5}\)
=\(\frac{2^{12}\cdot3^5-2^{12}.3^5.3}{2^{12}.3^5+2^{12}.3^5}\)
=3
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Tính giá trị của biểu thức:
a) \(3^2.5^3+9^2;\)
b) \(8^3:4^2-5^2;\)
c) \(3^3.9^2-5^2.9+18:6.\)
a) 32 . 53 + 92 = 9 . 125 + 81
= 1 125 + 81 = 1 206
b) 83 : 42 - 52 = 512 : 16 - 25 = 32 - 25 = 7
c) 33 . 92 - 52.9 + 18 : 6 = 27 . 81 - 25 . 9 + 3
= 2 187 - 225 + 3 = 1 962 + 3 = 1 965
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a) 32 . 53 + 92 = 9 . 125 + 81
= 1 125 + 81 = 1 206
b) 83 : 42 - 52 = 512 : 16 - 25 = 32 - 25 = 7
c) 33 . 92 - 52.9 + 18 : 6 = 27 . 81 - 25 . 9 + 3
= 2 187 - 225 + 3 = 1 962 + 3 = 1 965
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Thu gọn
\(B=\frac{2^3-3^4-2^4.3^3}{2^5.3^4-2^6.3^3}\)
\(C=\frac{\frac{1}{2}-\frac{1}{2}:\frac{3}{4}-\frac{3}{4}}{\frac{2}{3}-\frac{2}{3}:\frac{5}{6}-\frac{5}{6}}\)
a)Afrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}} b)Bfrac{45}{19}-left(frac{1}{2}left(frac{1}{3}+left(frac{1}{4}right)^{-1}right)^-right)^{-1} c)Cfrac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6} d)Dfrac{2^{21}.3^5-4^6.81}{left(2^2.3right)^6+8^4.3^5} e) Eleft(6^9.2^{10}+12^{10}right):left(2^{19}.27^3+15.4^9.9^4right)f) Ffrac{3^6.45^4-15^{13}.5^{-9}}{27^4.24^3+45^6} g)Gfrac{left(frac{2}{5}right)^7.5^7+left(frac{9}{4}right)^3:left(frac{3}{16}ri...
Đọc tiếp
a)A=\(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\) b)B=\(\frac{45}{19}-\left(\frac{1}{2}\left(\frac{1}{3}+\left(\frac{1}{4}\right)^{-1}\right)^-\right)^{-1}\) c)C=\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}\)
d)D=\(\frac{2^{21}.3^5-4^6.81}{\left(2^2.3\right)^6+8^4.3^5}\) e) E=\(\left(6^9.2^{10}+12^{10}\right):\left(2^{19}.27^3+15.4^9.9^4\right)\)
f) F=\(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.24^3+45^6}\) g)G=\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\) h)H=\(x+\frac{0,2-0,375+\frac{5}{11}}{-0,3+\frac{9}{16}-\frac{15}{22}}\)với x=-1/3
ai nhanh nhất mà trả lời dúng mik tặng 3 k
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\(a,3^{16}:3=\)dưới dạng 1 lũy thừa
\(b,3^6.3^4.3^2.3\)= dưới dạng 1 lũy thừa
\(c,\left(\frac{-1}{4}\right).\left(6\frac{2}{11}\right)+\left(3\frac{9}{11}\right).\frac{-1}{4}\)
\(d,\left(\frac{-1}{2}\right)^3+\frac{1}{2}:5\)
\(g,1\frac{1}{25}+\frac{2}{21}-\frac{1}{25}+\frac{19}{21}\)
\(a,3^{16}:3=3^{16-1}=3^{15}\)
\(b,3^6.3^4.3^2.3=3^{6+4+2+1}=3^{13}\)
\(c,\left(-\frac{1}{4}\right).\left(6\frac{2}{11}\right)+\left(3\frac{9}{11}\right).\left(-\frac{1}{4}\right)=\left(-\frac{1}{4}\right).\frac{68}{11}+\frac{42}{11}.\left(-\frac{1}{4}\right)\)
\(=\left(-\frac{1}{4}\right)\left(\frac{68}{11}+\frac{42}{11}\right)\)
\(=\left(-\frac{1}{4}\right).10\)
\(=-\frac{10}{4}=-\frac{5}{2}\)
\(d,\left(-\frac{1}{2}\right)^3+\frac{1}{2}:5=\left(-\frac{1}{2}\right)\left(\left(\frac{1}{2}\right)^2-\frac{1}{5}\right)\)
\(=-\frac{1}{2}.\left(\frac{1}{4}-\frac{1}{5}\right)\)
\(=-\frac{1}{2}.\frac{1}{20}\)
\(=-\frac{1}{40}\)
\(g,1\frac{1}{25}+\frac{2}{21}-\frac{1}{25}+\frac{19}{21}=\frac{26}{25}+\frac{2}{21}-\frac{1}{25}+\frac{19}{21}\)
\(=\left(\frac{26}{25}-\frac{1}{25}\right)+\left(\frac{2}{21}+\frac{19}{21}\right)\)
\(=1+1\)
\(=2\)
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