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  • 19-05-2020
  • Mathematics
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Is [tex]2^{-3}[/tex] rational or irrational?

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Аноним Аноним
  • 19-05-2020

Answer:

Rational

Step-by-step explanation:

[tex]2^{-3}[/tex] simplifies to [tex]\frac{1}{8}[/tex].

Therefore, it is rational.

[tex]2^{-3}\\\\\text {Apply negative exponent rule: } a^{-n} = \frac{1}{a^n} \\2^{-3}= \frac{1}{2^3}\\ \rightarrow 2^3 = 2*2*2=8\\\boxed{2^{-3}=\frac{1}{8}}[/tex]

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