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!
[include_netrun_products_block from-products="product/ged-math-test-prep-in-30-days-complete-study-guide-and-test-tutor-for-ged-mathematics-the-ultimate-book-for-beginners-and-pros-two-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
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
- How to Interpret Pie Graphs? (+FREE Worksheet!)
- Reciprocal Identities
- How to Prepare for Math Exams: Study Tips & Tricks
- Full-Length ISEE Lower Level Math Practice Test
- ASVAB Math Practice Test Questions
- Top 10 8th Grade MAP Math Practice Questions
- Top 10 3rd Grade SBAC Math Practice Questions
- How to Solve Piecewise Functions?
- Estimation Expedition: How to Solve Word Problems with Approximate Sums and Differences
- The Ultimate 7th Grade MCAS Math Course (+FREE Worksheets)
What people say about "Number Properties Puzzle – Challenge 10 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.