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\(\frac{9^{16}\cdot3^{17}}{27^{11}\cdot81^5}=\frac{3^{32}.3^{17}}{3^{33}.3^{20}}=\frac{3^{49}}{3^{53}}=\frac{1}{3^4}=\frac{1}{81}\)
916.317 = (32)16.317 = 332.317 = 349
2711.815 = (33)11.(34)5 = 333.320 = 353
a) \(\left(0,25\right)^3\cdot32=0,015625\cdot32=0,5\)
b) \(\left(-0,125\right)^3\cdot80^4=\dfrac{-1}{512}\cdot40960000=80000\)
c) \(\dfrac{8^2\cdot4^5}{2^{20}}=\dfrac{2^{3^2}\cdot2^{2^5}}{2^{20}}=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{2^{16}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)
d) \(\dfrac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}=\dfrac{3^{4^{11}}\cdot3^{17}}{3^{3^{10}}\cdot3^{2^{15}}}=\dfrac{3^{44}\cdot3^{17}}{3^{30}\cdot3^{30}}=\dfrac{3^{61}}{3^{60}}=3\)
a,=\(\frac{1}{2}\)
b,-80000
c,\(\frac{1}{16}\)
d,\(1,271734748x10^{29}\)
A,\(8^2.4^5:2^{20}=\left(2^3\right)^2.\left(2^2\right)^5:2^{20}=2^6.2^{10}:2^{20}=\frac{2^{16}}{2^{20}}=\frac{1}{16}\)
nhan đúng nha
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}\)
\(=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}\)
\(=\frac{3^{61}}{3^{60}}\)
\(=3^1=3\)
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}=\frac{\left(3^4\right)^{11}.3^{17}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=3\)