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how can exponent can make it easier to write an expression with a repeated factor in the product

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Q: How can exponents make it easier to write an expression with a repeated factor in the product?
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Sometimes prime factorizations have repeated factors. It is often easier to write them with exponents. 2 x 2 x 2 x 3 x 3 x 3 = 216 23 x 33 = 216


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Sometimes prime factorizations have repeated factors. It is often easier to write them with exponents. 2 x 2 x 2 x 3 x 3 x 3 = 216 23 x 33 = 216


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What is prime factorization in exponent form?

Sometimes prime factorizations have repeated factors. It is often easier to write them with exponents. 2 x 2 x 2 x 3 x 3 x 3 = 216 2^3 x 3^3 = 216 When prime factors are repeated, it saves space to use exponents. 2 x 2 x 2 x 3 x 3 x 3 = 216 2^3 x 3^3 = 216 It's a short way to count the repeated factors. 2 x 2 x 2 x 3 x 3 = 72 2^3 x 3^2 = 72


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The exponential form is easier and faster to write, easier to read, easier to tellother people about, and easier to spot the mistake if somebody copies it wrong.


What are exponents and logarithms use for?

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