Question

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

Answer 1

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

Explanation:

The relevant laws of indices are ...

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

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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)}`