Question

【】符号为中括号,计算：(1/2)的负1/2次方*【负4的1/2次方*(负1/2)的1/3次方】的负3/4次方

Answer 1

(1/2)的负1/2次方=2^(1/2)=√2

【负4的1/2次方*(负1/2)的1/3次方】的负3/4次方

=[(-2)*(-1/2)^(1/3)]^(-3/4)

=[(-1/2)^(-1)*(-1/2)^(1/3)]^(-3/4)

={(-1/2)^[(-1)+(1/3)]}^(-3/4)

=[(-1/2)^(-2/3)]^(-3/4)

=(-1/2)^[(-2/3)*(-3/4)]

=(-1/2)^(1/2) = =这题有问题吧= =【“负4”的负号在哪儿的?】