Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0.
Answers
Answered by
1
Step-by-step explanation:
Given Which expression is equivalent to Start Fraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m n Superscript negative 2 Baseline End Fraction?
Assume m not-equals 0, n not-equals 0.
- So the given expression is (3m^-2n)^-3 / 6mn^-2
- So using law of exponents we have (a^m)^n = a^mn
- So we can write the above expression as
- 3^-3 m^6 n^-3 / 6 m n^-2 ( where m ≠ 0 and n ≠ 0)
- So m^6 n^- 3 / 3^3 x 6 mn^-2
- So m^6 n^-3 / 3^3 x 6 mn^-2
- Using law of exponents (a^m x a^n = a^m+n)
- So we get
- m^5 n^-1 / 162
- Or m^5 / 162 n
Reference link will be
https://brainly.in/question/17992928
Answered by
6
Answer:
b
Step-by-step explanation:
i took the test and its right 81m^2n^5/8
Similar questions
Science,
4 months ago
English,
4 months ago
Social Sciences,
8 months ago
English,
8 months ago
Math,
11 months ago