Respuesta :

hailydenney2

Answer:

A. the proper steps that should have been taking would be to first would be to raise 2 to the power of 3, which would give you 8. Then raise it to the power of 1. So the most likely error is C. they added the exponents.

Answer:

C

Step-by-step explanation:

Applying the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

Hence

[tex](2^3)^{1}[/tex] = [tex]2^{3(1)}[/tex] = [tex]2^{3}[/tex] = 8

The classmate has mistakenly added the exponents to obtain

[tex](2^3)^{1}[/tex] = [tex]2^{(3+1)}[/tex] = [tex]2^{4}[/tex] = 16 ← incorrect

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