pugirl pugirl
  • 17-05-2022
  • Mathematics
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How are the values of -4^3 and 4^-3 alike and how do they differ?

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TheUnknownScientist
TheUnknownScientist TheUnknownScientist
  • 17-05-2022

Answer:

(-4)³ = -64

(4)⁻³ = 1/64

Step-by-step explanation:

[tex]( - 4) {}^{3} = ( - 4) \times ( - 4) \times ( - 4) = - 64 \\ [/tex]

[tex] {4}^{ - 3} = (\frac{1}{4} ) {}^{3} \\ [/tex]

[tex] ({ \frac{1}{4} )}^{3} = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} \\ [/tex]

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