Question

Which of these is NOT an integer

A) 3 raised to the power of -5
B) -3 raised to the power of 5
C) (1/3) raised to the power of -5

Answer 1

Hi there!

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I believe your answer is:

Option A

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Here’s why:

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`\boxed{\text{Option A:}}\\\\3^(-5)\\\\\rightarrow (1)/(3^5)\\\\\rightarrow (1)/(243)\\\\\ \text{This is \textbf{NOT} an integer.}}`

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`\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}`

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`\boxed{\text{Option C:}}\\\\(1)/(3)^(-5) \\\\\rightarrow (1)/(((1)/(3))^5)\\\\\rightarrow (1)/((1)/(243) )\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}`

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`\text{Option \textbf{A} does not simplify into an integer.}`

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Hope this helps you. I apologize if it’s incorrect.