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morpeh [17]
3 years ago
14

What are 3 exponents that equal 216 except for 6 to the 3rd power?

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0
Answer: First find the prime factorization of 216, then piece it back together in different ways. We are going to us multiple exponents.

216 = 6 x 6 x 6 = 2 x 3 x 2 x 3 x 2 x 3

Therefore, we could write it as:

(2^3)(3^3)

or

(6^1)(2^2)(3^2)

or 

(6^2)(2^1)(3^1)
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Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

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Givens

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