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What is the value of this expression: (−2)^3 × 3^0 × (−4)^−2

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The value of the expression (-2)^3 × 3^0 × (-4)^(-2) can be calculated as follows:

(-2)^3 = -2 × -2 × -2 = -8
3^0 = 1 (anything raised to the power of 0 is equal to 1)
(-4)^(-2) = 1/(-4)^2 = 1/16

Putting it all together:
(-2)^3 × 3^0 × (-4)^(-2) = -8 × 1 × 1/16 = -8/16 = -1/2

Therefore, the value of the expression (-2)^3 × 3^0 × (-4)^(-2) is -1/2.
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