Question

what is the exponent of 2 in the prime factorisation of 288 ?​

Answer 1

Given -

A number 288

To Find -

Exponent of 2 in the prime factorisation of 288

Now,

288 = 2×2×2×2×2×3×3

→ 2^5 × 3²

Hence,

The exponent of 2 is 5 and exponent of 3 is 2.

Answer 2

Answer:

The prime factors are: 2 x 2 x 2 x 2 x 2 x 3 x 3

Written in exponential form: 25 x 32 = 2²x 3³

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