Thực hiện phép tính
\(\frac{2^5.3^5+2^4.3^4}{2^4.3^6-2^5.3^5}\)
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Thực hiện phép tính bằng cách hợp lí
Q=( 5.3^11+4.3^12) : ( 3^9.5^2 - 3^9 . 2^3 )
.(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
=(5.3^11+4.3^11.3):[3^9.(5^2-2^3)]
=(5.3^11+12.3^11):[3^9.17]
=3^11.(5+12):(3^9.17)
=(3^11.17):(3^9.17)
=17.(3^11:3^9)
=17.3^2
=17.9
=153
tk nha
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bai cua kacura dung nhung 4 dong cuoi la sai to
co khong co kieu phan phoi nhu vay ma phai thay la 3^11:3^9( nhan 17 chia 17 thi khi nao cung nhan duoc ket qua giong nhau)
=3^2=9
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Thu gọn :
A = \(\frac{2^4.3^3+2^3.3^4}{2^5.3^3-2^4.3^2}\)
\(A=\frac{2^4.3^3+2^3.3^4}{2^5.3^3-2^4.3^2}\)
\(A=\frac{2^3.3^3\left(2+3\right)}{2^4.3^2\left(2.3-1\right)}\)
\(A=\frac{2^3.3^3.5}{2^4.3^2.5}\)
\(A=\frac{3}{2}\)
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\(A=\frac{2^4.3^3+2^3.3^4}{2^5.3^3-2^4.3^2}\)
\(A=\frac{2^3.3^3\left(2+3\right)}{2^4.3^2\left(2.3-1\right)}\)
\(A=\frac{2^3.3^3.5}{2^4.3^2.5}\)
\(A=\frac{3}{2}\)
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Thu gọn
\(B=\frac{2^3-3^4-2^4.3^3}{2^5.3^4-2^6.3^3}\)
\(C=\frac{\frac{1}{2}-\frac{1}{2}:\frac{3}{4}-\frac{3}{4}}{\frac{2}{3}-\frac{2}{3}:\frac{5}{6}-\frac{5}{6}}\)
Cho 3 phân số:
\(\frac{-5^2-5.3^2}{5^3+5^2.3^2};\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}};\frac{2929-101}{2.1919+404}\)
Rút gọn rồi quy đòng 3 ps trên
thực hiện phép tính : b) 5^3 . 2 ( 23 4^0) : 2^3 c) ( 5.3^5 17.3^4 ) : 6^2
Thực hiện phép tính một cách hợp lí :
1.(5.311+4.312):(39.52-39.23)
2.(12+22+32+...+992+1002).(36.333-108.111)
1.(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
=(5.3^11+4.3^11.3):[3^9.(5^2-2^3)]
=(5.3^11+12.3^11):[3^9.17]
=3^11.(5+12):(3^9.17)
=(3^11.17):(3^9.17)
=17.(3^11:3^9)
=17.3^2
=17.9
=153
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2.(12+22+32+...+992+1002).(36.333-108.111)
=2.(12+22+32+...+992+1002).(36.333-36.3.111)
=2.(12+22+32+...+992+1002).(36.333-36.333)
=2.(12+22+32+...+992+1002).0
=0
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Rút gọn phân số:
\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}\)
\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}=\frac{5^3.5.11.2^4.3^4.11}{2^5.3^3.3.11.5.11.5^2}\)
\(=\frac{2^4.3^4.5^4.11^2}{2^5.3^4.5^3.11^2}=\frac{1.1.5.1}{2.1.1.1}=\frac{5}{2}\)
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khử xong=\(\frac{5.3.11}{2.33}\)=\(\frac{5}{2}\)
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\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}\)
\(=\frac{5^3.5.11.2^4.3^4.11}{2^5.3^3.3.11.11.5.5^2}\)
\(=\frac{5^4.11^2.2^4.3^4}{2^5.3^4.11^2.5^3}\)
\(=\frac{\left(5^3.11^2.2^4.3^4\right).5}{\left(5^3.11^2.2^4.3^4\right).2}\)
\(=\frac{5}{2}\)
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thực hiện phép tính
A=\(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}+\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{12}}\)
\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}+\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{12}}\)
\(=\frac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{2^{12}.3^6+\left(2^3\right)^4.3^5}-\frac{\left(2^4\right)^3.3^{10}+2^3.3.5.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{12}}\)
\(=\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6-2^{12}.3^5}-\frac{2^{12}.3^{10}-2^3.3.5.2^9.3^9}{2^{12}.3^{12}+2^{12}.3^{12}}\)
\(=\frac{2^{12}.\left(3^5-3^4\right)}{2^{12}.\left(3^6-3^5\right)}-\frac{2^{12}.3^{10}-2^{12}.3^{10}.5}{2^{12}.3^{12}+2^{12}.3^{12}}\)
\(=\frac{3^5-3^4}{3^6-3^5}-\frac{2^{12}.3^{10}.\left(1-5\right)}{2^{13}.3^{12}}\)
\(=\frac{162}{486}-\frac{2^{12}.3^{10}.\left(-4\right)}{2^{13}.3^{10}.3^2}=\frac{1}{3}-\frac{2^{14}.3^{10}.\left(-1\right)}{2^{13}.3^{10}.9}\)
\(=\frac{1}{3}-\frac{2.1.\left(-1\right)}{1.1.9}=\frac{1}{3}-\frac{2}{9}=\frac{1}{9}\)
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Cho 3 phân số :\(\frac{-5^2-5.3^2}{5^3+5^2.3^2}\);\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\);\(\frac{2929-101}{2.1919+404}\)rút gọn rồi qui đồng các phân số đó.