Respuesta :

Given the equation;

[tex]4^5\cdot4^3=4^{\text{?}}[/tex]

Note that the index powers of two numbers that are equal would be added together. That i;

[tex]\begin{gathered} 4^5\cdot4^3=4^{5+3} \\ 4^5\cdot4^3=4^8 \\ \text{Note that;} \\ (4\times4\times4\times4\times4)\cdot(4\times4\times4)=4\times4\times4\times4\times4\times4\times4\times4 \end{gathered}[/tex]

ANSWER:

[tex]4^8[/tex]