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.
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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.
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Let's use these pictures to explore the powers of three
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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.
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These dimensions are what exponents mean, so we can represent each picture as three to that power