Algebra 1 · Chapter 6 · Lesson 6.11 · Printable PDF

Powers of Powers, Products and Quotients Worksheet with Answer Key

8 problems on powers of powers, products and quotients: simplifying with exponent rules, combining powers with different bases, byte sizes, student mistakes, writing numbers as powers of 2, finding exponents, and comparing two expressions. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Powers of powers, products and quotients worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Simplify each expression using the power rules.
    (w^3)^8(-2x^3)^4(5a^2b^3)^2\left(\dfrac{x}{3}\right)^4(-4c^5)^3
  2. Fill in each blank so the equation is true for every value of the letters.
  3. Write a product of powers as a single power, then as a power of 10.
  4. Use powers of two to find kilobyte, megabyte and gigabyte sizes.
  5. Find what Ethan did wrong in four expressions and write the correct answers.
  6. Write each number as a power of 2 and order the five numbers.
  7. Find the whole number that makes each equation true.
  8. Compare the value of two similar expressions at one number and simplify one of them.

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