Tính:
A) 4510 x 520 trên 7515
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\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{3^{10}.3^{10}.5^{10}.5^{10}.5^{10}}{3^{15}.5^{15}.5^{15}}\\ =\dfrac{3^{10+5}.3^{10-5}.5^{10+10+10}}{3^{15}.5^{15+15}}=\dfrac{3^{15}.3^5.5^{30}}{3^{15}.5^{30}}\\ =3^5=243\)
\(70-5\cdot\left(x-3\right)=45\)
\(\Rightarrow5\cdot\left(x-3\right)=70-45\)
\(\Rightarrow5\cdot\left(x-3\right)=25\)
\(\Rightarrow x-3=\dfrac{25}{5}\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=5+3=8\)
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\(10+2\cdot x=4^5:4^3\)
\(\Rightarrow10+2\cdot x=4^2\)
\(\Rightarrow10+2\cdot x=16\)
\(\Rightarrow2\cdot x=16-10\)
\(\Rightarrow2\cdot x=6\)
\(\Rightarrow x=\dfrac{6}{2}=3\)
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\(2\cdot x-138=2^3\cdot3^2\)
\(\Rightarrow2\cdot x-138=72\)
\(\Rightarrow2\cdot x=72+138\)
\(\Rightarrow2\cdot x=210\)
\(\Rightarrow x=\dfrac{210}{2}=105\)
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\(231-\left(x-6\right)=1339:12\)
\(\Rightarrow231-x+6=1339:12\)
\(\Rightarrow237-x=\dfrac{1339}{12}\)
\(\Rightarrow x=237-\dfrac{1339}{12}\)
\(\Rightarrow x=\dfrac{1505}{12}\)
(158 + 144) x 32 - 294 = 302 x 32 - 294 = 9664 - 294 = 9370
4510 - 255 + (198 + 81 x 21) = 4510 - 225 + (198 + 1701) = 4285 + 1899 = 6184
83 489 - 75 x 26 = 83 489 - 1950 = 81 539
a) \(2900\times94+2900\times5+2900\)
\(=2900\times\left(94+5+1\right)\)
\(=2900\times100\)
\(=290000\)
b) \(34000:125:8\)
\(=34000:\left(125\times8\right)\)
\(=34000:1000\)
\(=34\)
A) 12,6 + 13,5 + 14,4 - 4,5 - 3,6 - 5,4
= ( 12,6 - 3,6 ) + ( 13,5 - 4,5 ) + ( 14,4 - 5,4 )
= 9 + 9 + 9
= 9 x 3 = 27
B) 0,2 x 17 x 7 + 0,14 x 520 + 31 x 1,4
= ( 0,2 x 7 ) x 17 + ( 0,14 x 10 ) x 52 + 31 x 1,4
= 1,4 x 17 + 1,4 x 52 + 31 x 1,4
= 1,4 x ( 17 + 52 + 31 )
= 1,4 x 100
= 140
\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{\left(3^2\times5\right)^{10}\times5^{20}}{\left(5^2\times3\right)^{15}}\)\(=\frac{3^{20}\times5^{10}\times5^{20}}{5^{30}\times3^{15}}\)\(=3^5\)= 243