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Question

If `5sqrt(5) xx 5^3 -: 5^(-3/2)` =  `5^(a + 2)`,  then the value of a is :


Options:
A .  4
B .  5
C .  6
D .  8
Answer: Option A

`5sqrt(5) xx 5^3 -: 5^(-3/2)` =  `5^(a + 2)`  `hArr`    `(5 xx 5^(1/2) xx 5^3)/(5^(- 3/2))` = `5^(a + 2)`             
`hArr    5^((1 + 1/2 + 3 + 3/2))      =  5^(a + 2)       hArr     5^6  =   5^(a + 2)      hArr   a + 2  = 6    hArr   a = 4`.



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