michelize9801 michelize9801
  • 13-03-2018
  • Mathematics
contestada

The number 64 is a perfect

A.square and cube
B.square
C.cube

Respuesta :

Аноним Аноним
  • 13-03-2018
The answer to this question is A.

The prime factorization of 64 is [tex]2^6[/tex]

This can be written in two ways.

[tex]64=2^6=2^3 \times 2^3 = 8 \times 8 = 8^2[/tex]
[tex]64=2^6=2^2 \times 2^2 \times 2^2=4 \times 4 \times 4=4^3[/tex]

Thus, 64 is both a perfect square and perfect cube. Hope this helps! :)
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