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Masha666111
@Masha666111
November 2021
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решите плез СРОООООЧНОО
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tan4ik3107
1.
^ - степень
а) 5^-5 : 5^-3= 5^-5-(-3)= 5^-5+3= 5^-2= 1/5²= 1/25
б) 6^11 * 6^9=6^11+9= 6^20
в) (3^-2)^3= 3^-2*3= 3^-6
2.
а) (а^-4)^3 * а^12= а^-12 * а^12= а^0=1
б) 1,5х^2*у^-3 * 4х^-3*у^4= 6х^2-3*у^-3+4= 6х^-1*у^1=6у/х
3.
=(1/3)^-2*х²у^-4= 3²х² : у⁴= 9х²/у⁴
= 3х/4у³ * 6ху² =18х²/4у =9х²/2у= 4,5х²/у
4.
3^-9* 9^-4 / 27^-6= 3^-3 * (3²)^-4 / (3³)^-6= 3^-3* 3^-8 / 3^-18 = 3^-11-(-18) = 3^-11+18= 3^7
5.
= (4,6*10000)(2,5*1/1000000)= 4,6*2,5*10000*1/1000000=11,5*1/100=0,115
6.
(а^-1 + в^-1)(а+в)^-1= (1/а+1/в)/а+в =а+в/ав / а+в= а+в/ ав(а+в)= 1/ав
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Answers & Comments
^ - степень
а) 5^-5 : 5^-3= 5^-5-(-3)= 5^-5+3= 5^-2= 1/5²= 1/25
б) 6^11 * 6^9=6^11+9= 6^20
в) (3^-2)^3= 3^-2*3= 3^-6
2.
а) (а^-4)^3 * а^12= а^-12 * а^12= а^0=1
б) 1,5х^2*у^-3 * 4х^-3*у^4= 6х^2-3*у^-3+4= 6х^-1*у^1=6у/х
3.
=(1/3)^-2*х²у^-4= 3²х² : у⁴= 9х²/у⁴
= 3х/4у³ * 6ху² =18х²/4у =9х²/2у= 4,5х²/у
4.
3^-9* 9^-4 / 27^-6= 3^-3 * (3²)^-4 / (3³)^-6= 3^-3* 3^-8 / 3^-18 = 3^-11-(-18) = 3^-11+18= 3^7
5.
= (4,6*10000)(2,5*1/1000000)= 4,6*2,5*10000*1/1000000=11,5*1/100=0,115
6.
(а^-1 + в^-1)(а+в)^-1= (1/а+1/в)/а+в =а+в/ав / а+в= а+в/ ав(а+в)= 1/ав