Algebra 1 · Chapter 6 · Lesson 6.12 · Printable PDF

Zero and Negative Exponents Worksheet with Answer Key

8 problems on zero and negative exponents: evaluating them, rewriting with positive exponents, simplifying, finding integer exponents, ordering numbers, a growing culture, mistakes, and testing a claim about negative exponents. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Zero and negative exponents worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Find the value of each expression with a zero or negative exponent.
    \left(-\dfrac{3}{4}\right)^03^{-4}\left(-\dfrac{1}{3}\right)^{-3}-\left(\dfrac{1}{2}\right)^{-4}\left(\dfrac{3}{2}\right)^{-2} \cdot 3^2
  2. Rewrite each expression using positive exponents only.
    m^{-7}\dfrac{2}{5}k^{-3}(xy)^{-4}\dfrac{a^{-2}}{3b^{-1}}\dfrac{7}{2y^{-3}}
  3. Simplify each expression and write it with positive exponents.
    a^5 \cdot a^{-5}x^{-2} \cdot x^{-6}\dfrac{y^3}{y^{-2}}(m^{-3})^2\dfrac{t^{-7}}{t^{-3}}
  4. Find the integer exponent that makes each equation true.
  5. Order a list of numbers with negative exponents from least to greatest.
  6. Bacteria culture triples each hour: use the exponent to look back before noon.
  7. Find the mistake in each line and give the correct value or expression.
  8. Test a classmate's claim about negative exponents with chosen values.

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Zero and negative exponents: the lesson ›