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The number 17 to the power of three over five can be written in the form a root of 17 to the power of b. What is the value of B?

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We have the following expression:
17 ^ (3/5)
We rewrite the expression.
We have then:
a ^ root (17 ^ b)
Where, for this case:
a = 5
b = 3
Substituting:
5 ^ root (17 ^ 3)
Answer:
the value of B is:
b = 3
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