The index form of the product of primes of 256 is [tex]2^{8}[/tex].
Prime numbers are those that has only two factors, 1 and the number. Examples are: 2, 3, 7, 11, 13 etc.
Thus to express 256 as a product of primes as required by the question implies expressing the product of the primes as an exponential form.
Then by long division,
2 256
2 128
2 064
2 032
2 016
2 008
2 004
2 002
001
So that,
256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= [tex]2^{8}[/tex]
Therefore, the index form of the product of primes of 256 is [tex]2^{8}[/tex].
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