You can put this solution on YOUR website! "Simplified" is not a clearly defined term.
Can a^3*b^4 be simplifed?
It can be expressed as
Is that more simplified than ?
a^3b^4 has fewer terms, but a larger exponent, and the sum of the exponents is 7 vs 4.
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For this to have a definitive answer, "simplify" has to be defined.
You can put this solution on YOUR website! a and b are different terms they cannot be multiplied into one term or simplified.
Foe example if there are 5 apples and 6 mangoes in a basket you can neither say there are 11 mangoes nor can you say there are 11 apples. You have to say there 11 fruits.
a^3*b^4 is like the word fruits.