Question

Срочно ,алгебра 11класс,номер 88 (желательно все задания кроме 1 )

Answer 1

1
$a ^{1/6} *a ^{-1/18} =a ^{3/18-1/18} =a ^{1/9} = sqrt[9]{a}$
2
$x^{3/4} * x^{1/12} = x^{9/12+1/12} = x^{5/6} = sqrt[6]{x^5}$
3
$a^{-1/4} *b ^{1/2} *a ^{1/8} *b ^{1/8} =a ^{-2/8+1/8} *b ^{4/8+1/8} =$$a ^{-1/8} b ^{5/8} = sqrt[8]{b^5/a}$
4
$x^{-2/5} *y ^{1/5} * x^{1/10} *y ^{-1/10} = x^{-4/10+1/10} *y ^{2/10-1/10} =$$x^{-3/10}y ^{1/10} = sqrt[10]{y/x^3}$
5
$x^{1/3} *y ^{-1/3} * x^{1/6} *y ^{-1/6} * y^{1/6} * x^{-1/6} *y ^{1/18} * x^{-1/18} =$$x ^{6/18+1/6-1/6-1/18} y ^{-6/18-1/6+1/6+1/18} = x^{5/18} y ^{-5/18} =$$sqrt[18]{(x/y)^5}$
6
$x^{1/8} * x^{-2} *y ^{-1} = x^{-7/8} y ^{-1} =1/(y sqrt[8]{x^7} )$
7
$b*a ^{1/8} *b ^{1/4} *a ^{-2} *b^4/(a ^{3/4} *b ^{-3/2} )=$$a ^{1/8-2-3/4} *b ^{1+1/4+4+3/2} =a ^{-2} *a ^{-5/8} *b^6*b ^{3/4} =$$b^6/a^2* sqrt[8]{b^6/a^5}$
8
$a ^{2/3} *b ^{1/6} *a ^{1/12} *b ^{4/3} /(a ^{3/4} *b ^{-3/2} =$$a ^{8/12-1/12-9/12} *b ^{1/6+8/6+9/6} =a ^{-1/6} *b^=b^3/ sqrt[6]{a}$