Number Properties Puzzle – Challenge 14

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

The Absolute Best Book to challenge your Smart Student!

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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