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!

Number Properties Puzzle – Challenge 14

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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