How do I solve and then simplify this math problem: http://i.imgur.com/3bq58Ra.png?
回答 (3)
2016-08-24 7:37 am
(2x⁻⁵ / 3x³)⁻³
= (2x⁻⁵)⁻³ / (3x³)⁻³ ...... (a/b)ⁿ = aⁿ/bⁿ
= 2⁻³x¹⁵ / 3⁻³x⁻⁹ ...... (ab)ⁿ = aⁿbⁿ and (aᵐ)ⁿ = aᵐⁿ
= 3³x¹⁵x⁹ / 2³ ...... a⁻ⁿ = (1/a)ⁿ and (1/a)⁻ⁿ = aⁿ
= 27x²⁴ / 8 ...... aⁿaᵐ = aⁿ⁺ᵐ
= (27/8)x²⁴
= (2x⁻⁵)⁻³ / (3x³)⁻³ ...... (a/b)ⁿ = aⁿ/bⁿ
= 2⁻³x¹⁵ / 3⁻³x⁻⁹ ...... (ab)ⁿ = aⁿbⁿ and (aᵐ)ⁿ = aᵐⁿ
= 3³x¹⁵x⁹ / 2³ ...... a⁻ⁿ = (1/a)ⁿ and (1/a)⁻ⁿ = aⁿ
= 27x²⁴ / 8 ...... aⁿaᵐ = aⁿ⁺ᵐ
= (27/8)x²⁴
2016-08-24 7:31 am
The power -1 means reciprocal.
[2x^(-3)/3x^3] = (2/3x^8)
[2x^(-3)/3x^3]^(-3) = (3x^8/3)^3 = 27x^24/8
[2x^(-3)/3x^3] = (2/3x^8)
[2x^(-3)/3x^3]^(-3) = (3x^8/3)^3 = 27x^24/8
2016-08-24 8:22 am
(2x^-5/3x^3)^-3
= (3x^3/2x^-5)^3
= 27x^24/8
= (3x^3/2x^-5)^3
= 27x^24/8
收錄日期: 2021-05-01 13:06:32
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160823232335AAx7IlI