Respuesta :

Answer:

2⁴3²

Step-by-step explanation:

144= 12×12

= 2×2×3×2×2×3

= 2×2×2×2×3×3

=2⁴ 3²

The product of prime factors in index form of 144 is [tex]2^43^2[/tex].

Given that,

  • The number is 144.
  • We need to expressed as the product of prime factors in index form.

Based on the above information, the calculation is as follows:

[tex]144= 12\times 12\\\\= 2\times 2\times3\times2\times2\times 3\\\\= 2\times2\times2\times2\times 3\times 3\\\\=2^4 3^2[/tex]

Therefore we can conclude that the product of prime factors in index form of 144 is [tex]2^43^2[/tex].

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