If 5√ 5 × 53 ÷ 5 - 3/2 = 5a + 2, then the value of a is

Simplifying the given expression we get,

(5 × 5^1/2 × 5³)/(5 ^{- 3/2}) = 5^{a + 2}

⇒ 5^{4 + (1/2 + 3/2)} = 5^{a + 2}

⇒ 5⁶ = 5^{a + 2}

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