If p = 10^m, q = 10^n and p^n*q^m = 100 then prove that mn=1

Rahul Reddy asked Aug 14, 2023

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Rahul Reddy asked Aug 14, 2023

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Answer:

Explanation:

$\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^(mn)*10^(nm)=10^(2mn)=100^(mn)=100\\\\\Rightarrow\ mn=1$

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