187k views
1 vote
Simplify this please (m×n)^-1=

User Gisel
by
6.5k points

2 Answers

4 votes
We can solve this by using the exponent rule
a^(-n) = (1)/(a^(n) ). In this case, a is mn and -n is -1. That means that the simplified version of this is
(1)/((mn)^(1) ) =
(1)/((mn)) (anything to the power of one is itself).
User Ryan DuVal
by
6.5k points
3 votes

\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^(-n) \qquad \qquad a^n\implies \cfrac{1}{a^(-n)} \\\\ -------------------------------\\\\ (m* n)^(-1)\implies \cfrac{1}{(m* n)^1}\implies \cfrac{1}{mn}
User Jass
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.