Question:If `5sqrt(5) xx 5^3 -: 5^(-3∕2) = 5^(a + 2)` the of a is : 

A 4 
B 5 
C 6 
D 8 

+ Answer
A 

+ Explanation
`(5sqrt(5) xx 5^3)/(5^(-3∕2)`

`= 5^(a + 2) <=>(5^(3∕2) xx 5^3)/(5^(-3∕2)`

`= 5^(a + 2)`

`:. 5(3/2 + 3 + 3/2)`

`= 5^(a + 2) or 5^6`

`= 5^(a + 2)`

`:. a + 2 = 6 or a = 4`

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Irin Moni

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