If 5\sqrt5 \times 5^3 / 5^{-3/2} = 5^{a+2} , then the value of a is

SSC CGL 26 Oct 2014 Shift 2 Paper

Question : 115 of 200

Marks: +1, -0

5√5 × 5^3

5^{-3/2}

5^{a+2}

, then the value of a is

Solution:

5√5 × 5^3

5^{-3/2}

5^{a+2}

⇒ 5 ×

5^{1/2} × 5^3

5^{-3/2}

5^{a+2}

⇒

5^{1/2+1+3+3/2}

5^{a+2}

⇒

5^6

5^{a+2}

⇒ a + 2 = 6
⇒ a = 6 - 2 = 4

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