How are the values of -4^3 and 4^-3 alike and how do they differ?

Eulanda asked Dec 15, 2023

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Eulanda asked Dec 15, 2023

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13 votes

Answer:

(-4)³ = -64

(4)⁻³ = 1/64

Explanation:

$( - 4) {}^(3) = ( - 4) * ( - 4) * ( - 4) = - 64 \\$

${4}^( - 3) = ((1)/(4) ) {}^(3) \\$

$({ (1)/(4) )}^(3) = (1)/(4) * (1)/(4) * (1)/(4) = (1)/(64) \\$

Brian Stevens answered Dec 21, 2023

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