Answer :

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]