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- 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
- 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}}
- 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}}
- Find the integer exponent that makes each equation true.
- Order a list of numbers with negative exponents from least to greatest.
- Bacteria culture triples each hour: use the exponent to look back before noon.
- Find the mistake in each line and give the correct value or expression.
- Test a classmate's claim about negative exponents with chosen values.
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The free lesson teaches it with worked examples and practice problems.
Zero and negative exponents: the lesson ›More Chapter 6 worksheets: Exponential functions and choosing a model
- 6.1Growth and decay factors
- 6.2What an asymptote is
- 6.3Graphs of exponential functions
- 6.4Writing an exponential function from a table or graph
- 6.5Linear versus exponential growth
- 6.6Choosing a function family for data
- 6.7Interpreting the numbers in a model
- 6.8Building a model from a description
- 6.9Where a model holds: domain, interpolation and extrapolation
- 6.10Multiplying and dividing powers with the same base
- 6.11Powers of powers, products and quotients
- 6.12Zero and negative exponents