Question

[[(625)^-1/2]^-1/4]^2
Please solve it step by step

Answer 1

Hey there !!!


[{(625)⁻¹/₂}⁻¹/₄]² 

625 = 25² 

So, 

=[{(625)⁻¹/₂}⁻¹/₄]² 

=[{(25)²*⁻¹/₂}⁻¹/₄]²=[{(25)⁻¹}⁻¹/₄]²  

=[{(5)²*⁻¹}⁻¹/₄]² =[{(5)⁻²}⁻¹/₄]² =[{5}¹/₂]² =5

Hope this helps you .....