How do you write #root8(15)^3# in rational exponent notation?

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Answer 1 · 2016-10-05T18:48:19

#root8(15)^3 = 15^(3/8)#

The root becomes the denominator and the index becomes the numerator

"Rational" means in the form of a fraction. #a/b " "b!=0#

Recall: one of the laws of indices: #rootq(x^p) = x^(p/q)#

The root becomes the denominator and the index becomes the numerator

Apply the law given above.

#root8(15)^3 = 15^(3/8)#

The root becomes the denominator and the index becomes the numerator