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bahahas
@bahahas
July 2022
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miron2077
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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lanagently
*Примечание: значок ^ означает степень
а) 2^(√5+(-√5))=2^0=1
б) 3^(2√2):(3^2)^(√2)=3^(2√2):3^(2√2)=3^(2√2-2√2)=3^0=1
в) (5^(√3))^(√3)=5^(√3*√3)=5^3=125
г) (0,5^(√2))^(√8)=0,5^(√16)=0,5^4=0,625
д) 2^(2-3√5)*8^(√5)=2^(2-3√5)*2^(3√5)=2^(2-3√5+3√5)=2^2=4
е) 3^(1+2√2):9^(√2)=3^(1+2√2):3^(2√2)=3^(1+2√2-2√2)=3^1=3
ж) (5^(1+√2))^(1-√2)=5^(1-2)=5^(-1)=1/5=0,2
з) (5^(1-√5))^(1+√5)-(√5)^0=5^(1-5)-1=5^(-4)-1=1/(5^4)-1=1/625-1=0,0016-1=-0,9984
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Verified answer
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!а) 2^(√5+(-√5))=2^0=1
б) 3^(2√2):(3^2)^(√2)=3^(2√2):3^(2√2)=3^(2√2-2√2)=3^0=1
в) (5^(√3))^(√3)=5^(√3*√3)=5^3=125
г) (0,5^(√2))^(√8)=0,5^(√16)=0,5^4=0,625
д) 2^(2-3√5)*8^(√5)=2^(2-3√5)*2^(3√5)=2^(2-3√5+3√5)=2^2=4
е) 3^(1+2√2):9^(√2)=3^(1+2√2):3^(2√2)=3^(1+2√2-2√2)=3^1=3
ж) (5^(1+√2))^(1-√2)=5^(1-2)=5^(-1)=1/5=0,2
з) (5^(1-√5))^(1+√5)-(√5)^0=5^(1-5)-1=5^(-4)-1=1/(5^4)-1=1/625-1=0,0016-1=-0,9984