Question

.Express the given number as an exponent of it prime
factors. 1728 = ___.

Answer 1

Given: the given number as an exponent of it prime

factors. 1728

The factors of 1728 are 2×2×2×2×2×2×3×3×3

1728 can be expressed in exponential form as

$2^{6}*3^{3}=1728$

Answer 2

SOLUTION

TO DETERMINE

Express the given number as an exponent of it prime factors : 1728

EVALUATION

Here the given number = 1728

We now prime factorise the given number

$\sf \: 1728 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3$

Number of 2's = 6

Number of 3's = 3

Thus expressing the given number as an exponent of it prime factors we get

$\sf \: 1728 = {2}^{6} \times {3}^{3}$

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