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

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