# Number Properties Puzzle – Challenge 14

This is a great math challenge to tease your brain and sharpen your basic math skills. This puzzle is for you if you love critical thinking challenges. Let's challenge your brain!

## Challenge:

If \(a^{x }= \frac{2}{3}\), what is the value of \(a^{-3x}\)?

**A-** \(\frac{2}{27}\)

**B-** \(-\frac{2}{27}\)

**C-** \(\frac{8}{27}\)

**D-** \(-\frac{8}{27}\)

**E-** \(-\frac{27}{8}\)

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The correct answer is E.

\(a^{x} = \frac{2}{3 }→ a^{-3x} = (\frac{2}{3})^{-3} = \frac{1}{(\frac{2}{3})^{3}} = \frac{1}{\frac{8}{27}} =\frac{ 27}{8}\)

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