Respuesta :

[tex](x^{22})\cdot(x^7)^3[/tex]

when a number is power to a number a, and it is also power to another number b we can apply the property

[tex](x^a)^b=x^{a\cdot b}[/tex]

apply this to the expression above

[tex]\begin{gathered} x^{22}\cdot(x^{7\cdot3)} \\ x^{22}\cdot x^{21} \end{gathered}[/tex]

continue by applying the property of a product between the same number as a base but with a different exponent

[tex]x^a\cdot x^b=x^{a+b}[/tex]

apply this to the expression above

[tex]\begin{gathered} x^{22}\cdot x^{21^{}} \\ x^{43} \end{gathered}[/tex]

the value of p is equal to 43.