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Drag the correct example for each property of exponents.

*You will have unused options.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Product of Like Bases Quotient of Like Bases Power to a Power Zero Exponents Negative Exponents

1 answer

Sure! Here are examples for each property of exponents:

  1. Product of Like Bases: \( a^m \cdot a^n = a^{m+n} \) (Example: \( 2^3 \cdot 2^2 = 2^{3+2} = 2^5 \))

  2. Quotient of Like Bases: \( \frac{a^m}{a^n} = a^{m-n} \) (Example: \( \frac{5^4}{5^2} = 5^{4-2} = 5^2 \))

  3. Power to a Power: \( (a^m)^n = a^{m \cdot n} \) (Example: \( (3^2)^3 = 3^{2 \cdot 3} = 3^6 \))

  4. Zero Exponents: \( a^0 = 1 \) (Example: \( 7^0 = 1 \))

  5. Negative Exponents: \( a^{-n} = \frac{1}{a^n} \) (Example: \( 4^{-2} = \frac{1}{4^2} = \frac{1}{16} \))

You will need to fill these examples in the provided inputs for each corresponding property.