Question

Diego was trying to write 2^3 * 2^2 with a single exponent and wrote 2^6 explain to Diego what his mistake was and what the answer should be

Answer 1

Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be
`2^(3+2) = 2^(5)`

Explanation:

Suppose we have a base a, and two exponents, b and c, we have that:

`a^(b) * a^(c) = a^(b+c)`

In this problem:

`a = 2, b = 3, c = 2`

Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be
`2^(3+2) = 2^(5)`