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  • 27-10-2020
  • Mathematics
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What is the value of the expression (-2)^3 (3)^0 (4)^-2

Respuesta :

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  • 28-10-2020

Answer:

(-1)/2

Step-by-step explanation:

Simplify the following:

(-2)^3×3^0/4^2

4^2 = 16:

((-2)^3×3^0)/16

3^0 = 1:

(-2)^3/16

(-2)^3 = (-1)^3×2^3 = -2^3:

(-2^3)/16

2^3 = 2×2^2:

(-2×2^2)/16

2^2 = 4:

(-2×4)/16

2×4 = 8:

(-8)/16

The gcd of -8 and 16 is 8, so (-8)/16 = (8 (-1))/(8×2) = 8/8×(-1)/2 = (-1)/2:

Answer: (-1)/2

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