Ответ:
Пошаговое объяснение:
1.
⁴√(81·0,0016·625)=⁴√((3²)²·(0,2²)²·5⁴)=⁴√(3·0,2·5)⁴=3·1=3
³√(27/0,125)=³√(3³/5³)=³√(3/5)³=3/5=0,6
2.
³√((8a³b⁶)/(27x¹²y⁹))=³√((2ab²)/(3x⁴y³))³=(2ab²)/(3x⁴y³)
3.
(5⁴·49³)/(7⁻⁷·25³)=(5⁴·7⁶·7⁷)/5⁶=7¹³/5²
4.
³√(250x⁴y⁷)=³√(5³·2x³xy⁶y)=5xy²·³√(2xy)
5.
5ab²·³√(a²b)=³√(125a³b⁶a²b)=³√(125a⁵b⁷)
6.
(m^(1/4)-m^(1/3))²+2m^(7/12)=m^(1/2)-2m^(1/12)+m^(2/3)+2m^(7/12)=m^(2/3)+2m^(7/12)+m^(1/2)-2m^(1/12)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
Пошаговое объяснение:
1.
⁴√(81·0,0016·625)=⁴√((3²)²·(0,2²)²·5⁴)=⁴√(3·0,2·5)⁴=3·1=3
³√(27/0,125)=³√(3³/5³)=³√(3/5)³=3/5=0,6
2.
³√((8a³b⁶)/(27x¹²y⁹))=³√((2ab²)/(3x⁴y³))³=(2ab²)/(3x⁴y³)
3.
(5⁴·49³)/(7⁻⁷·25³)=(5⁴·7⁶·7⁷)/5⁶=7¹³/5²
4.
³√(250x⁴y⁷)=³√(5³·2x³xy⁶y)=5xy²·³√(2xy)
5.
5ab²·³√(a²b)=³√(125a³b⁶a²b)=³√(125a⁵b⁷)
6.
(m^(1/4)-m^(1/3))²+2m^(7/12)=m^(1/2)-2m^(1/12)+m^(2/3)+2m^(7/12)=m^(2/3)+2m^(7/12)+m^(1/2)-2m^(1/12)