Question

2744/(3^21 × 81) simplified.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify, we can break down 2744 and 81 into their prime factors:

2744 = 2^3 × 7^3
81 = 3^4

Now we substitute these prime factorizations into the expression:

2744/(3^21 × 81)
= 2744/(3^20 × 3 × 3^3)
= 2^3 × 7^3/(3^20 × 3 × 3^3)
= (2^3 × 7^3)/(3^(20+1) × 3^3)
= (2^3 × 7^3)/(3^24 × 3^3)
= 2^3 × 7^3/3^24 × 3^3
= 2^3 × 7^3/3^(24 - 3)
= 2^3 × 7^3/3^21

Therefore, the expression 2744/(3^21 × 81) simplified is 2^3 × 7^3/3^21.

Answer 2

( 2^3 * 7^3) / [ 3^21 * 3^4 ]

= 2^3 * 7^3 / 3^25

Answer 3

[AI-generated answer — Bot GPT 3.5]

You are correct. I apologize for the mistake in my previous response. The simplified form of the expression (2^3 * 7^3) / [3^21 * 3^4] is indeed 2^3 * 7^3 / 3^25. Thank you for catching that.