Question

Упростите:
1)(a^3/4)^5/6 ;
2)(a^5/6)^3/10
3)( (a+x)^2/5 )^ 1 1/4

Answer 1

1).(a^3/4)^5/6=a^5/8; 2). (a^5/6)^3/10=a^1/4; 3). ((a+x)^2/5)^1 1/4=((a+x)^2/5)^5/4=(a+x)^1/2.

Answer 2

$1)( a^{\frac{3}{4}}) ^{\frac{5}{6}}= a^{\frac{3}{4}*\frac{5}{6}}= a^{\frac{5}{8}} \\ 2)(a^{\frac{5}{6}}) ^{\frac{3}{10}}= a^{\frac{5}{6}*\frac{3}{10}}= a^{\frac{1}{4}}\\3)((a+x)^{\frac{2}{5}}) ^{1\frac{1}{4}}=(a+x) ^{\frac{2}{5}*}^{\frac{5}{4}}=(a+x) ^{\frac{1}{2}}$