To answer this question, we need to take into account the rule for exponents:
[tex]x^m\cdot x^n=x^{m+n}[/tex]
And
[tex](x^m)^n=x^{m\cdot n}[/tex]
Then, we have:
[tex]x^{12}\cdot(x^3)^4=x^{12}\cdot x^{3\cdot4}=x^{12}\cdot x^{12}=x^{12+12}=x^{24}[/tex]
Therefore, the value for p = 24, since we have:
[tex]x^{24}=x^p\Rightarrow p=24[/tex]
Then, the expanded form is:
[tex]x^{12}\cdot x^{12}=x^{24}[/tex]
And the answer is:
[tex]x^{24}=x^p\Rightarrow p=24[/tex]
