alegerrajj7721 alegerrajj7721
  • 21-05-2020
  • Mathematics
contestada

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

Respuesta :

joaobezerra joaobezerra
  • 22-05-2020

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]

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