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\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=3\)
giúp tớ nhé
tớ bị trừ 41 điểm
cảm ơn trước
cảm ơn huhuh
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}=\frac{\left(3^4\right)^{11}.3^{17}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=\frac{3^1}{1}=3\)
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\(A=\frac{\left(9^2\right)^{11}.3^{17}}{\left(3^3\right)^{10}.9^{15}}=\frac{9^{22}.3^{17}}{3^{30}.9^{15}}=\frac{9^7}{3^{12}}=9\)
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\(\left(\frac{1}{4}\right)^{44}.\left(\frac{1}{2}\right)^{12}=\left(\left(\frac{1}{2}\right)^2\right)^{44}.\left(\frac{1}{2}\right)^{12}=\left(\frac{1}{2}\right)^{88}.\left(\frac{1}{2}\right)^{12}=\left(\frac{1}{2}\right)^{100}\)
\(\frac{3^{17}.\left(3^4\right)^{11}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{17}.3^{44}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=3\)
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3^12.(3^4)^11/(3^3)^10.(3^2)^15=3^12.3^44/3^30.3^30=3^56/3^30
=3^17.9^22/3^30.9^15=9^7/3^13=3^14/3^13=3^1=3
giùm nhé bạn
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\(\frac{2^{15}.9^4}{6^3.8^3}\)=\(\frac{2^{15}.\left(3^2\right)^3}{\left(2.3\right)^3.\left(2^3\right)^3}\)=\(\frac{2^{15}.3^6}{2^3.3^3.2^9}\)=\(\frac{2^{15}.3^6}{2^{12}.3^3}\)=\(2^3.3^3\)=8.27=216
317.8111/2710.915
=317.(34)11/(33)10.(32)15
=317.344/330.330
=361/360
=3
\(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}=\frac{3^{17}.\left(3^4\right)^{11}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{17}.3^{41}}{3^{30}.3^{30}}=\frac{3^{17+41}}{3^{30+30}}=\frac{3^{58}}{3^{60}}=\frac{1}{3^2}=\frac{1}{9}\)
nho k day