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ilyasseven
@ilyasseven
November 2021
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mukus13
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8 votes
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fiofionina
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Решение:
³√(16a^4b^12 : ³√2ab^9=(16a^4b^12)^1/3 : (2ab^9)^1/3=(2^4a^4b^12)^1/3 : (2ab^9)^1/3=
={(2^4/3)*(a^4/3)*(b^12/3)} : {(2^1/3)*(a^1/3)*(b^9/3)}=2^(4/3-1/3)*a^(4/3-1/3)*b^(12/3-9/3)=
=2ab
Ответ: 2ab
0 votes
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Verified answer
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Решение:³√(16a^4b^12 : ³√2ab^9=(16a^4b^12)^1/3 : (2ab^9)^1/3=(2^4a^4b^12)^1/3 : (2ab^9)^1/3=
={(2^4/3)*(a^4/3)*(b^12/3)} : {(2^1/3)*(a^1/3)*(b^9/3)}=2^(4/3-1/3)*a^(4/3-1/3)*b^(12/3-9/3)=
=2ab
Ответ: 2ab