find n if 2/5 power of 4 = 2/5 power of n-2
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∴ the value of n = 6
Step-by-step explanation:
Q) find n if 2/5 power of 4 = 2/5 power of n-2
⇒ Given, 2/5 power of 4 = 2/5 power of n-2
∴ (2/5)^4 = (2/5)^(n-2)
comparing both side we get,
∴ 4 = n-2
∴ n = 4+2
∴ n = 6
Check the answer -
LHS = (2/5)^4 = (2^4/5^4) = 16/625
RHS = (2/5)^(n-2) = (2/5)^(6-2) = (2/5)^4 = (2^4/5^4) = 16/625
LHS = RHS
∴ the value of n = 6
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