The value of \((-1.1)^5 \times (1.21)^{-2}\) is :
-1.1
Note that \(1.21 = (1.1)^2\), so \((1.21)^{-2} = \left((1.1)^2\right)^{-2} = (1.1)^{-4}\).
Since the exponent 5 is odd, \((-1.1)^5 = -(1.1)^5\).
Multiplying, \((-1.1)^5 \times (1.21)^{-2} = -(1.1)^5 \times (1.1)^{-4} = -(1.1)^{5-4} = -(1.1)^1\).
Hence, \((-1.1)^5 \times (1.21)^{-2}\) is equal to -1.1.
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