Why is a number raised to the zero power equal to 1? And why do terms with negative exponents become fractions? Are we able to see this through visual models?

Yes!

In this short video, you'll see how exponents take on a pattern and can be modeled concretely with cut paper. We'll start with 3 raised to the 2nd power and work our way to 3 to the -2.

Exponent patterns |

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My students always seem to struggle with understanding why a number raised to a 0 exponent equals 1. This video and your visual with the exponent patterns is a great way for students to visualize this concept. Thanks for sharing.

ReplyDeleteIt stems from the quotient rule for exponents. 2^3/2^3 = 1 but it is also 2^{3-3} = 2^0, so 1= 2^0

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