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.
\(a^{x} = \frac{2}{3 }→ a^{-3x} = (\frac{2}{3})^{-3} = \frac{1}{(\frac{2}{3})^{3}} = \frac{1}{\frac{8}{27}} =\frac{ 27}{8}\)
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- How to Write the Standard Form of Linear Equations?
- The Ultimate 7th Grade FSA Math Course (+FREE Worksheets)
- Praxis Math Formulas
- Top 10 7th Grade PARCC Math Practice Questions
- How to Find the Measures of Central Tendency? (+FREE Worksheet!)
- How to Solve Multiplication Rule for Probabilities?
- The Ultimate Precalculus Course (+FREE Worksheets & Tests)
- How to Represente Proportional Relationships with Equations
- 8th Grade MEAP Math Worksheets: FREE & Printable
- Properties of Addition
What people say about "Number Properties Puzzle – Challenge 14 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.