The value of n of the given fraction expression has been calculated to be ; -3/2
How to simplify algebra?
We are given the expression;
(¹/₃₆)ⁿ = 216
From multiplication property of exponents, we can express the given expression as;
(¹/₆)²ⁿ = 6³
⇒ 6⁻²ⁿ = 6³
Now, since we know that the base of both sides are equal, then from laws of exponents we can say that; -2n = 3
n = -3/2
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