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