Zero and Negative Exponents Worksheet with Answer Key

What's on the worksheet

1. Find the value of each, giving fractions in lowest terms:
   \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 with positive exponents only:
   m^{-7}\dfrac{2}{5}k^{-3}(xy)^{-4}\dfrac{a^{-2}}{3b^{-1}}\dfrac{7}{2y^{-3}}
3. Simplify, writing each answer 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. List the numbers from least to greatest, showing each value.
6. Word problem: bacteria in a lab culture that triples every hour.
7. Find the mistake in each line and give the correct value:
8. Test a classmate's claim that a negative exponent makes a number smaller.