Question
If $5√5 ×5^3 ÷5^{-3/2}= 5^{a+2}$, then the value of a is
Answer: Option A
Answer:(d)$5√5 ×5^3 ÷5^{-3/2}= 5^{a+2}$$5 × 5^{1/2} × 5^3 ÷ 5^{-3/2} = 5^{a + 2}$$5^{1+ 1/2 +3+ 3/2} = 5^{a + 2}$$5^6 = 5^{a + 2}$ ⇒ a + 2 = 6a = 6 - 2 = 4$[a^m × a^n = a^{m + n},]$$[a^m ÷ a^n = a^{m - n}]$
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Answer:(d)$5√5 ×5^3 ÷5^{-3/2}= 5^{a+2}$$5 × 5^{1/2} × 5^3 ÷ 5^{-3/2} = 5^{a + 2}$$5^{1+ 1/2 +3+ 3/2} = 5^{a + 2}$$5^6 = 5^{a + 2}$ ⇒ a + 2 = 6a = 6 - 2 = 4$[a^m × a^n = a^{m + n},]$$[a^m ÷ a^n = a^{m - n}]$
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