narionna123 narionna123
  • 04-03-2020
  • Mathematics
contestada

Change this radical to an algebraic expression with fractional exponents.

[tex]5\sqrt{x^3}[/tex]

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Аноним Аноним
  • 04-03-2020

Rational exponents

[tex]a^\frac{m}{n}[/tex]

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.

In other words, we have

[tex]a^\frac{m}{n}=\sqrt[n]{a^m}[/tex]

So, in you case, we have

[tex]\sqrt[5]{x^3}=x^\frac{3}{5}[/tex]

Assuming that the question contanis a typo. If you actually mean [tex]5\sqrt{x^3}[/tex],

then you can write it as [tex]5x^\frac{1}{3}[/tex]

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