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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