125^3*512
(3^-2)^-2*1/3^5*27
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a) \(\left(-25\right).8.\left(-4\right).\left(-125\right).3\)
\(=\text{ }\left[\left(-25\right).\left(-4\right)\right].\text{ }\left[8.\left(-125\right)\right].3\)
\(=100.\left(-1000\right).3\)
\(=-100000.3\)
\(=-300000\)
b) \(27.\left(-17\right)+17.\left(-73\right)\)
\(=\left(-27\right).17+17.\left(-73\right)\)
\(=17\left[\left(-27\right).\left(-73\right)\right]\)
\(=17.\left(-100\right)\)
\(=-1700\)
c) \(512\left(2-128\right)-128\left(-512\right)\)
\(=512.2-512.128-128\left(-512\right)\)
\(=512.2-128\left[512+\left(-512\right)\right]\)
\(=1024-128.0\)
\(=1024-0\)
\(=1024\)
a, (-25).8.(-4).(-125).3
= (-25).(-8).(-4).(-125).(-3)
= {(-25).(-4)}.{(-8).(-125)}.(-3)
= 100.1000.(-3)
= 100000.(-3)
= -300000
b, 27.(-17)+17.(-73)
= 27.17+17.73
= 27.(17+73)
=27.90
=2430
c, 512.(2-128)-128.(-512)
= 512.(-2) - 512.128 - (-128).512
= { 512.{(-2)-128-(-128)}
= 512.{(-2).256}
=512.(-512)
= -262144
a) = \(\frac{127}{96}\)
b) = \(\frac{255}{256}\)
c) Mik bỏ nha
d) = \(\frac{1023}{512}\)
e) = \(\frac{2343}{625}\)
Bài 1: 1/3+1/9+1/27+1/81+1/243+1/729
Đặt:
A = 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729
Nhân A với 3 ta có:
\(Ax3=3+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\)
\(\Rightarrow Ax3-S=3-\frac{1}{243}\)
\(\Rightarrow2A=\frac{2186}{729}\)
\(\Rightarrow A=\frac{2186}{729}:2\)
\(\Rightarrow A=\frac{1093}{729}\)
\(2\sqrt{27}-\sqrt{\dfrac{16}{3}}-\sqrt{48}-\sqrt{8\dfrac{1}{3}}\)
\(=6\sqrt{3}-4\sqrt{\dfrac{1}{3}}-4\sqrt{3}-5\sqrt{\dfrac{1}{3}}\)
\(=2\sqrt{3}-9\sqrt{\dfrac{1}{3}}\)
\(=2\sqrt{3}-3\sqrt{9\cdot\dfrac{1}{3}}\)
\(=2\sqrt{3}-3\sqrt{3}\)
\(=-\sqrt{3}\)
________________________
\(\left(\sqrt{125}-\sqrt{12}-2\sqrt{5}\right)\left(3\sqrt{5}-\sqrt{3}+\sqrt{27}\right)\)
\(=\left(5\sqrt{5}-2\sqrt{3}-2\sqrt{5}\right)\left(3\sqrt{5}-\sqrt{3}+3\sqrt{3}\right)\)
\(=\left(3\sqrt{5}-2\sqrt{3}\right)\left(3\sqrt{5}+2\sqrt{3}\right)\)
\(=\left(3\sqrt{5}\right)^2-\left(2\sqrt{3}\right)^2\)
\(=15-12\)
\(=3\)
1) 125.(-24) + 24.225.
\(=24\left(-125+225\right)=24.100=2400.\)
2) 512.(2 – 128) – 128. (-512).
\(=512\left(2-128+128\right)=512.2=1024.\)