markym112714 markym112714
  • 24-03-2021
  • Mathematics
contestada

What is the answer to (2³)³? Explain or show your work.

Respuesta :

GgRust
GgRust GgRust
  • 24-03-2021

Answer:

(2³)³=512

because, 2³=8 & 8³=512

Answer Link
janmilczek
janmilczek janmilczek
  • 24-03-2021

Answer:

512

Step-by-step explanation:

Ok, let's start by deciphering how powering works:

[tex]a^3 = a \cdot a \cdot a\\a^b * a^c = a^{b+c}\textrm{; because it's "multiply a b times" multiplied by "multiply a c times"}\\(a^b)^c = a^{b\cdot c}\textrm{; because of the above}\\[/tex]

[tex](2^3)^3 = 2^{3\cdot3} = 2^9\\[/tex]

and because of KibiBytes existing, we know that 2^10 = 1024, so 2^9 will be equal to 1024/2=512

Answer Link

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