SOLUTION: Express the answer as a single fraction involving positive exponents only: {{{2p^-1+3q^-2}}}

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Question 1087706: Express the answer as a single fraction involving positive exponents only:
2p%5E-1%2B3q%5E-2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if you have 2 times p%5E-1 and 3 times q%5E-2, we have
2p%5E-1%2B3q%5E-2
2%281%2Fp%5E1%29%2B3%281%2Fq%5E2%29
2%2Fp%2B3%2Fq%5E2
2q%5E2%2F%28pq%5E2%29%2B3p%2F%28pq%29%5E2
%282q%5E2%2B3p%29%2F%28pq%29%5E2

but if you have %282p%29%5E-1 and %283q%29%5E-2, we have
%282p%29%5E-1%2B%283q%29%5E-2
1%2F%282p%29%5E1%2B1%2F%283q%29%5E2
%283q%29%5E2%2F%282p%283q%29%5E2%29%2B%282p%29%2F%28%282p%29%283q%29%5E2%29
%289q%5E2%2B2p%29%2F%282p%2A9q%5E2%29
%289q%5E2%2B2p%29%2F%2818pq%5E2%29