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39 votes
39 votes
Simplify by using the laws of indices: 3(112 m^11 n^-2) ÷ (672 m^3 n^2) ​

User JAnton
by
3.0k points

1 Answer

21 votes
21 votes

Answer:

(m^8)/(2n^4)

Explanation:

The relevant laws of indices are ...

  • (a^b)/(a^c) = a^(b-c)
  • a^-b = 1/a^b

__

Simplifying the given expression using these rules gives ...


3(112m^(11)n^(-2))/(672m^3n^2)=(336)/(672)m^(11-3)n^(-2-2)=\boxed{(m^8)/(2n^4)}

User Levous
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2.3k points