Simplify: { 3 − 1 × 4 − 1 } − 1 × 5 − 1

Simplify:

\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]

Sum

\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]`-(1/3xx1/4)^(-1)xx1/5` → (a⁻¹ = 1/a)

\[= \left( \frac{1}{12} \right)^{- 1} \times \frac{1}{5}\]

\[= 12 \times \frac{1}{5}\] → (a⁻¹ = 1/a)

\[= \frac{12}{5}\]

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