Number Properties Puzzle – Challenge 10
This is a great math challenge related to Number Properties for those who love critical thinking challenges. To solve this problem, you need to use your knowledge of exponents. Let's challenge your brain!

Challenge:
If \(a=2^{6000}, b=3^{4000}\) and \(c=7^{2000}\), which of the following is true?
A- \(a < b < c\)
B- \(c < b < a\)
C- \(a < c < b\)
D- \(c < a < b\)
E- \(b < a < c\)
The Absolute Best Book to Challenge Your Smart Student!

The correct answer is D.
\(a=2^{6000}, b=3^{4000}\) and \(c=7^{2000}\)
Find the \(2000^{th}\) rout of each number:
\(\sqrt[2000]{a}= \sqrt[2000]{2^{6000}} = 2^{\frac{6000}{2000}} = 2^3 = 8\)
\(\sqrt[2000]{b} =\sqrt[2000]{3^{4000}} = 3^{\frac{4000}{2000}} = 3^2 = 9\)
\(\sqrt[2000]{c} = \sqrt[2000]{7^{2000}} = 7^{\frac{2000}{2000}} = 7^1 = 7\)
Therefore: \(c < a < b\)
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- Using Strip Diagrams to Represent Fractions
- How is the GED Math Scored?
- 5th Grade Common Core Math Practice Test Questions
- Continuity at a point Explained: How to Identify Discontinuities and Their Significance
- Full-Length 7th Grade SBAC Math Practice Test-Answers and Explanations
- 3rd Grade MEA Math Worksheets: FREE & Printable
- How to Become a Better Math Problem Solver & Still Have Steady Nerves?
- Full-Length TSI Math Practice Test
- 3rd Grade NYSE Math FREE Sample Practice Questions
- How to Study for a Math Test in 7 Easy Steps
What people say about "Number Properties Puzzle – Challenge 10 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.