Math Forum - Problems Library - Algebra, Exponents & Radicals

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Exponents & Radicals
These problems require knowledge of the rules and properties of exponents and radicals.

Some of these problems are also in the following subcategories:

Related Resources
Interactive resources from our Math Tools project:
   Algebra: Exponents
   Algebra: Radicals
The closest match in our Ask Dr. Math archives:
   Middle School: Exponents
   Middle School: Square Roots
NCTM Standards:
   Algebra Standard for Grades 9-12

Access to these problems requires a Membership.

The ABC's of Exponents - Steve Risberg
Algebra, difficulty level 3. Solve a system of equations involving exponents. ... more>>

A Coat of Golden Angels - Terry Trotter
Algebra, difficulty level 1. Show how to do scientific notation problems on an 8-digit, four-function calculator. ... more>>

Don't Be Square - Ethel Breuche
Algebra, difficulty level 1. Use pattern recognition and square roots to find the sum of two numbers. ... more>>

Elbert's Equation - Steve Risberg
Algebra, difficulty level 3. Use exponent properties, absolute value, and quadratic equations to find the six solutions to Elbert's equation. ... more>>

It's the Law! - Terry Trotter
Algebra, difficulty level 3. Explain the two most important laws of exponents, as a good teacher or book might do. ... more>>

Polynomial Power - Steve Risberg
Algebra, difficulty level 3. Given the value of one variable expression, can you use it to find the value of others? ... more>>

Poolish Pride? - Steve Risberg
Algebra, difficulty level 3. Two competitive brothers build rectangular pools of similar shape but different size. Given some information relating the lengths and widths, find the area of the larger pool. ... more>>

A Space Diagonal - Terry Trotter, MATHCOUNTS
Algebra, difficulty level 2. Find the space diagonal of a certain cube in a sequence of cubes. ... more>>

Two Ladders - Terry Trotter
Algebra, difficulty level 2. Find the lengths of two ladders, then find their "differences." ... more>>

What's the Point? - Steve Risberg
Algebra, difficulty level 3. Find all points on a given line such that they are a specified distance from two points in the plane. ... more>>

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