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What is the value of the function? f(x)=(−2)^3(3)^0(4)^−2
What is the value of the function? f(x)=(−2)^3(3)^0(4)^−2
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Answered by
Bosnian
( - 2)³ = ( - 2) ∙ ( - 2) ∙ ( - 2) = - 8
Any non-zero number raised to the power of zero is equal 1, so (3)⁰ = 1
(4) ⁻ ² = 1 / ( 4 )² = 1 / 4 ∙ 4 = 1 / 16
( - 2)³ ∙ (3)⁰ ∙ (4) ⁻ ² = - 8 ∙ 1 ∙ 1 / 16 = - 8 / 16 = 8 ∙ ( - 1 ) / 8 ∙ 2 = - 1 / 2
Any non-zero number raised to the power of zero is equal 1, so (3)⁰ = 1
(4) ⁻ ² = 1 / ( 4 )² = 1 / 4 ∙ 4 = 1 / 16
( - 2)³ ∙ (3)⁰ ∙ (4) ⁻ ² = - 8 ∙ 1 ∙ 1 / 16 = - 8 / 16 = 8 ∙ ( - 1 ) / 8 ∙ 2 = - 1 / 2
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