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2.|-5|.|-3|-4-4.(25:5)+|-4|
[15:(-3)+40:(-8)].3(16:8)
-[-171+(171+23)]-[172-(38+172)]-49
giúp mik vs :3
\(2\cdot\left|-5\right|\cdot\left|-3\right|-4-4\cdot(25:5)+\left|-4\right|\)
\(=2\cdot5\cdot3-4-4\cdot5+4\)
\(=30-4-4\cdot5+4=30-4-20+4=10\)
a: \(=\dfrac{3}{7}\cdot\dfrac{7}{5}=\dfrac{3}{5}\)
b: \(=\dfrac{1}{5}+\dfrac{1}{9}=\dfrac{14}{45}\)
=88-165
=224-220
=220.[24-1]
=220.15 chia hết cho 15
Vậy 88-165 chia hết cho 15
b,
=105-253
=55.25-56
=55.[25-5]
=55.27 chia hết cho 27
Vậy 105-253 chia hết cho 27
\(\frac{60^8}{12^7.5^8}=\frac{2^{16}.3^8.5^8}{2^{14}.3^7.5^8}=\frac{2^2.3}{1}=12\)
\(\frac{50^{15}.13^{18}}{25^7.26^{15}.5^{16}}=\frac{2^{15}.5^{30}.13^{18}}{5^{30}.2^{15}.13^{15}}=2197\)
\(\frac{10^4}{5^3}=\frac{5^4.2^4}{5^3}=80\)
\(\frac{60^8}{12^7.5^8}=\frac{2^3.3}{1}=12\)
\(\frac{50^{15}.13^{18}}{25^7.26^{15}}=2197\)
\(10^4:5^3=10000:125=80\)
a) (2x)5 : 43 = 815 => 25x = 815.43 = (23)15.(22)3 = 245.26 = 251 => 5x = 51 => x = 10,2
b) (32)x .93 = 2439 => 32x = 2439 : 93 = (35)9 : (32)3 = 345 : 36 = 339 => 2x = 39 => x = 19,5
c) (1/125)3.5x = 255 => 5x = 255 : (1/125)3 = (52)5 : (1/53)3 = 510 : (5-3)3 = 510 : 5-9 = 519 => x = 19
d) 1/81 : 3x = 1/729 => 3x = 1/81 : 1/729 = 1/34.729 = 3-4.36 = 32 => x = 2
e) (5x - 2)4 = 168 = (162)4 = 2564
=> 5x - 2 = -256 ; 256 => 5x = -254 ; 258 => x = -50,8 ; 51,6
P/S : Thay x = 10,2 vào câu a , x = 19,5 vào câu b sẽ thấy điều hư cấu : 210,2 và 919,5.Ko thể tính được giá trị của 2 lũy thừa này.
\(A=\dfrac{2^{15}.3^5-4^6.9^2}{\left(2^2.3\right)+8^4.3^5}-\dfrac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
\(\Leftrightarrow A=\dfrac{2^{15}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{2^2.3+\left(2^3\right)^4.3^5}-\dfrac{5^{10}.7^3-\left(5^2\right)^5.\left(7^2\right)^2}{\left(5^3\right)^3.7^3+5^9.14^3}\)
\(\Leftrightarrow A=\dfrac{2^{15}.3^5-2^{12}.3^4}{2^2.3+2^{12}.3^5}-\dfrac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.\left(7.2\right)^3}\)
\(\Leftrightarrow A=\dfrac{2^{12}.3^4\left(2^3.3-1\right)}{2^2.3\left(1+2^{10}.3^4\right)}-\dfrac{5^{10}.7^3\left(1-7\right)}{5^9.7^3\left(1+2^3\right)}\)
\(\Leftrightarrow A=\dfrac{2^{10}.3^3\left(2^3.3-1\right)}{\left(1+2^{10}.3^4\right)}-\dfrac{5\left(1-7\right)}{\left(1+2^3\right)}\)
\(\Leftrightarrow A=\dfrac{1024.9\left(8.3-1\right)}{\left(1+1024.81\right)}-\dfrac{5\left(1-7\right)}{\left(1+8\right)}\)
\(\Leftrightarrow A=\dfrac{9216\left(24-1\right)}{\left(1+82944\right)}-\dfrac{5\left(1-7\right)}{\left(1+8\right)}\)
\(\Leftrightarrow A=\dfrac{9216.23}{82945}-\dfrac{5\left(-6\right)}{9}\)
\(\Leftrightarrow A=\dfrac{211968}{82945}+\dfrac{30}{9}\)
\(\Leftrightarrow A=\dfrac{1907712}{746505}+\dfrac{2488350}{746505}\)
\(\Leftrightarrow A=\dfrac{1907712+2488350}{746505}\)
\(\Leftrightarrow A=\dfrac{4396062}{746505}\)
\(\frac{3}{8}\)