5mu6 :5mu3+2mu2 .2mu3
19 mu7 : 19mu5+4.4mu2
2mu5. 7+3mu19 :3 mứ-2018
17.3mu2 -5mu15 :5mu13+39mu0
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513 : 510 - 25 * 22
= 513-10 - 25 * 4
= 53 - 100
= 125 - 100
= 25
\(S=\dfrac{2^2}{1.2}+\dfrac{2^2}{2.3}+\dfrac{2^2}{3.4}+...+\dfrac{2^2}{2022.2023}\)
\(S=2^2.\left(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{2022.2023}\right)\)
\(S=2^2.\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2022}-\dfrac{1}{2023}\right)\)
\(S=2^2.\left(\dfrac{1}{1}-\dfrac{1}{2023}\right)\)
\(S=2^2.\dfrac{2022}{2023}\)
\(S=\dfrac{2^2.2022}{2023}=\dfrac{8088}{2023}\)
`@` `\text {Ans}`
`\downarrow`
`5^6 \div 5^3 + 2^2*2^3`
`= 5^3 + 2^5`
`= 125+32`
`=``157`
`19^7 \div 19^5 + 4*4^2`
`= 19^(7-5) + 4^(1+2)`
`= 19^2 + 4^3`
`= 361 + 64`
`=``425`
\(2^5\cdot7+3^{2019}\div3^{2018}?\)
`= 224 + 3`
`= 227`
`17*3^2 - 5^15 \div 5^13 + 39^0`
`= 153 - 5^2 + 1`
`= 153 - 125 + 1`
`= 153 - 124`
`=29`