(1/3)^-2×+1/(1/3)4×-5=1/27

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To simplify this expression, we will first manipulate the terms with negative exponents:

(1/3)^-2 = 3^2 = 9 // (reciprocal of 1/3 with positive exponent)
(1/3)^4 = 3^4 = 81 // (reciprocal of 1/3 with positive exponent)

So, the expression becomes:

9 + 1/(81) - 5 = 1/27

Now, simplify the expression:

9 + 1/81 - 5 = 1/27
9 - 5 + 1/81 = 1/27
4 + 1/81 = 1/27
Multiplying both sides by 81 to get rid of the fraction:

81(4 + 1/81) = 81(1/27)

324 + 1 = 3
325 = 3

However, this results in a contradiction, indicating that there may have been a mistake in the manipulation of terms. Let's revisit the initial equation to double-check the calculation.