Question

27^5/12 * 9^5/8 * 81^3/4 ???? Помогите решить)))

Answer 1

$27^{5/12}=3^{3*5/12}=3^{5/4} \ 9^{5/8} = 3^{2*5/8}=3^{5/4} \ 81^{3/4}=3^{4*3/4}=3^{3} \ 3^{5/4}*3^{5/4}*3^{3}=3^{5/4+5/4+3}=3^{22/4}=3^{5}* sqrt{3}= 243 sqrt{3}$