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

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