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Meaning of an exponent as a concept

This math skill explores the meaning of exponents through the concept of dimensions, using visual examples of three-dimensional blocks. Each example demarcates how the exponent correlates to the number of dimensions represented.

Learn meaning of an exponent as a concept

Teaching Transcript

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Let's use these pictures to explore the powers of three

First count how many dimensions of three each set of blocks has. The first has zero dimensions of three. The second is a stack of three, so that's one dimension. The third, as a square, has 2 dimensions.

These dimensions are what exponents mean, so we can represent each picture as three to that power

Skill Practice

Meaning of an exponent as a concept

Test your understanding of meaning of an exponent as a concept by practicing it! Work through the below exercises to use it in practice.