Question

Use the properties of exponents to simplify the expression: 25 3/2

Answer 1

For any Real numbers  a ,  b ,  c  with  a  >  0  we find:

a ^b c = ( a ^b )^ c

In our example,  

25 = 5 ^2 , so we find:

=25 ^3/ 2

= ( 5^ 2 ) 3/ 2

= 5 ^2 ⋅ 3 /2

= 5^ 3

= 125