Explanation:
The expression x^4x^3 can be simplified using the rule of exponents that states when multiplying two terms with the same base, you add the exponents. So, x^4x^3 can be written as x^(4+3) which gives us x^7.
On the other hand, the expression (x^4)^3 means that we need to take the base x^4 and raise it to the power of 3. This is equivalent to multiplying x^4 by itself three times. So, we get (x^4)^3 = x^(4*3) = x^12.
Therefore, the difference between x^4x^3 and (x^4)^3 is that x^4x^3 simplifies to x^7, while (x^4)^3 simplifies to x^12.
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