arkeim7
arkeim7 arkeim7
  • 15-12-2021
  • Mathematics
contestada

What is the following product? Assume x>0

What is the following product Assume xgt0 class=

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Cashy243
Cashy243 Cashy243
  • 15-12-2021

Answer:

C

I did this for a sec and got answer C, if I'm wrong I'm super sorry!

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sqdancefan
sqdancefan sqdancefan
  • 15-12-2021

Answer:

  C

Step-by-step explanation:

The relevant rules of exponents are ...

  [tex]\sqrt[n]{x^m}=x^{m/n}\\\\x^mx^n=x^{m+n}[/tex]

__

The product is ...

  x^(2/3)·x^(3/4) = x^(2/3 +3/4) = x^((8+9)/12) = x^(1 5/12)

  = x·x^(5/12)

  [tex]\displaystyle =x\!\left(\!\sqrt[12]{x^5}\right)[/tex]

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