the value of 5 1 4 xx 125 0 25 is, Surds and Indices, General Mathematics

Question:The value of  $5^(1/4) xx (125)^0.25$  is

A  $sqrt(5)$  
B  $5sqrt(5)$  
C 5 
D 25

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+ AnswerC

+ Explanation $5^1∕4 xx (125)^0.25$ 

 $= 5^0.25 xx (5^3)^0.25$ 

 $= 5^0.25 xx 5^(3 xx 0.25)$ 

 $= 5^0.25 xx 5^0.75$ 

 $= 5^(0.25 + 0.75)$ 

 $= 5^1$ 

 $= 5$ .

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Question:The value of 514×(125)0.255^(1/4) xx (125)^0.25 is

A √5sqrt(5)

B 5√55sqrt(5)

C 5

D 25

C

Question:The value of $5^(1/4) xx (125)^0.25$ is

A $sqrt(5)$

B $5sqrt(5)$