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b) (-624) – [ (376 + 235) – 35]
= -624-(376+235-35)
= -624-(376+200)
= -624-576= -1200
1. (Mình đưa nó về thừa số nguyên tố nha, cái nào ko đc thì thôi)
125 = 53; 27 = 33; 64 = 26; 1296 = 64; 1024 = 210; 2401 = 74; 43 = 64; 8 = 23; 25.125 = 3125 = 55.
2.
2n = 16 =) n = 4. 3n = 81 =) n = 4. 2n-1 = 64 =) n = 7. 3n+2 = 27.81 =) n = 5. 25.5n-1 = 625 =) n = 3.
2n.8 = 128 =) n = 4. 3.5n = 375 =) n = 3. (3n)2 = 729 =) n = 3. 81 ≤ 3n ≤ 729 =) n = 4; 5; 6.
\(125=5^3;27=3^3;1296=36^2=6^4=2^4.3^4;1024=32^2=2^{10};2401=49^2=7^4;4^3=2^6;8=2^3;25.125=5^2.5^3=5^5\)
\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.....\frac{624}{625}=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{24.26}{25.25}\)
\(\frac{1.2.3.4.....24}{2.3.4.5.....25}.\frac{3.4.5.....26}{2.3.4.5......25}=\frac{1}{25}.\frac{26}{2}=\frac{13}{25}\)
a: \(\left[\left(-59\right)+71\right]-\left[\left(-83\right)-\left(-95\right)\right]\)
\(=\left[71-59\right]-\left[-83+95\right]\)
=12-12
=0
b: \(\left(435-167-89\right)-\left(435-89\right)\)
\(=435-167-89-435+89\)
\(=\left(435-435\right)+\left(89-89\right)-167\)
=0+0-167
=-167
c: \(\left(-624\right)-\left[\left(376+245\right)-45\right]\)
\(=\left(-624\right)-\left[376+245-45\right]\)
\(=\left(-624\right)-376-200\)
=-1000-200
=-1200
\(1196-\left[375-\left(-196\right)-625\right]\\ =1196-\left[375+196-625\right]\\ =1196-540\\ =656.\)
133+625+27.19-25.15
133+625+513-375
625-375+133+513
250+133+513
383+513=896
\(\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot\cdot\cdot\cdot\frac{624}{625}\)
\(=\frac{1.3}{2.2}\cdot\frac{2.4}{3.3}\cdot\frac{3.5}{4.4}\cdot\cdot\cdot\cdot\frac{24.26}{25.25}\)
\(=\frac{1.2.3....24}{2.3.4....25}\cdot\frac{3.4.5....26}{2.3.4....25}\)
\(=\frac{1}{25}\cdot\frac{26}{2}=\frac{26}{50}=\frac{13}{25}\)
\(\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{8}\right)\cdot\left(1+\frac{1}{15}\right)\cdot\cdot\cdot\cdot\left(1+\frac{1}{9999}\right)\)
\(=\frac{4}{3}\cdot\frac{9}{8}\cdot\frac{16}{15}\cdot\cdot\cdot\cdot\frac{10000}{9999}\)
\(=\frac{2.2}{1.3}\cdot\frac{3.3}{2.4}\cdot\frac{4.4}{3.5}\cdot\cdot\cdot\cdot\frac{100.100}{99.101}\)
\(=\frac{2.3.4...100}{1.2.3...99}\cdot\frac{2.3.4...100}{3.4.5...101}\)
\(=\frac{100}{1}\cdot\frac{2}{101}=\frac{200}{101}\)
375x376=141000
624x625=390000
13x81x215=226395
375.376=3.125.47.8=141.1000=141000
624.625=16.39.625=10000.39=39000
13.81.215=226395