Answer:
Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be [tex]2^{3+2} = 2^{5}[/tex]
Step-by-step explanation:
Suppose we have a base a, and two exponents, b and c, we have that:
[tex]a^{b} \times a^{c} = a^{b+c}[/tex]
In this problem:
[tex]a = 2, b = 3, c = 2[/tex]
Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be [tex]2^{3+2} = 2^{5}[/tex]