Задача 35367 (1/4)^(-1/2)*16^(1/2)-2^(-1)*(1/25)^(-1/2)*8^(-1/3)...

vk451838600

2019-04-04 16:20:31

(1/4)^(-1/2)*16^(1/2)-2^(-1)*(1/25)^(-1/2)*8^(-1/3)

sova

2019-04-04 17:35:43

(1/4)=2^(-2)

(1/4)^(-1/2)=(2^(-2))^(-1/2)=2^(-2*(-1/2))=2
16^(1/2)=4
(1/4)^(-1/2)*16^(1/2)=2*4=8

·(1/25)^(–1/2)=(5^(-2))^(-1/2)=5

2^(-1)=1/2
8^(-1/3)=(2^(3))^(-1/3)=2^(-1)=1/2

2^(–1)·(1/25)^(–1/2)·8^(–1/3)=(1/2)*5*(1/2)=5/4

8- (5/4)= 8-1,25 [b]=6,75[/b]