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a)524.[23+(-45)] + 524.(-45+123)
=524.(-22) + 524.78
=524.(-22+78)
=524.100
=52400
Câu 1: \(\frac{4^9.36+64^4}{16^4.100}=\frac{4^9.36+4^{12}}{4^8.4.5^2}=\frac{4^9\left(36+4^3\right)}{4^9.25}=\frac{4^9.100}{4^9.25}=\frac{100}{25}=4\)
Câu 2: \(\frac{125^5-25^5}{100.50^5-10^2}=\frac{25^5.5^5-25^5}{25.4.25^5.2^5-25.4}=\frac{25^5\left(5^5-1\right)}{100\left(25^5.2^5-1\right)}\)
Câu 2 sai đề hay sao á bạn mk làm ko ra!
16 . ( 38 - 2 ) - 38 . ( 16 - 1 )
=16 . 38 - 2 .16 - 38 .16 - 1.38
=16.38.(2.16-1.38)
=608.(32-38)
=608.(-6)
=-3648
\(a,A=\frac{-251489}{15750}\)
b,\(B=\frac{47}{12}\)
\(c,C=\frac{11}{25}\)
\(d,D=\frac{10}{39}\)
a) A = (-8) . 25 . (-2) .4 . (-5) .125
= [(-8). 125]. (25.4). [(-2 ).(-5)]
= -1000 . 100 . 10
= -1000000
b) B= 19.25 + 9.95 + 19.30
= 19.25 + 9.19.5+19.30
= 19.25 + 19.45+19.30
= 19.(25+45+30)
= 19. 100
= 1900
đúng 100% bn nhé
\(x+\frac{2}{15}=\frac{1}{3}\)
\(x=\frac{1}{3}-\frac{2}{15}\)
\(x=\frac{1}{5}\)
h, \(h,\frac{1}{3}-\frac{2}{3}:x=\frac{1}{4}\)
\(\frac{2}{3}:x\)= \(\frac{1}{3}-\frac{1}{4}\)
\(\frac{2}{3}:x=\frac{1}{12}\)
\(x=\frac{2}{3}:\frac{1}{12}\)
\(x=8\)
a) \(\left(-4\right).125.\left(-25\right).\left(-6\right).\left(-8\right)\)
\(=\left(-4\right)\left(-25\right)\left(-8\right).125.\left(-6\right)\)
\(=100.\left(-1000\right).\left(-6\right)\)
\(=600000\)
b) \(\left(-98\right)\left(1-246\right)-246.98\)
\(=\left(-98\right)\left(-245\right)-246.98\)
\(=98.245-246.98\)
\(=98.\left(245-246\right)=98.\left(-1\right)=-98\)
Đặt:
\(A=\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}+...+\dfrac{1}{25^{10}}\\ A=\dfrac{1}{5}+\dfrac{1}{5^2}+\dfrac{1}{5^3}+...+\dfrac{1}{\left(5^2\right)^{10}}\\ A=\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^{20}}\\ 5A=1+\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^{19}}\\ 5A-A=\left(1+\dfrac{1}{5}+...+\dfrac{1}{5^{19}}\right)-\left(\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^{20}}\right)\\4A =1-\dfrac{1}{5^{20}}\\ 4A=\dfrac{5^{20}-1}{5^{20}}\\ A=\dfrac{5^{20}-1}{4\cdot5^{20}}\)
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