WhiteWinterRose
WhiteWinterRose WhiteWinterRose
  • 13-01-2020
  • Mathematics
contestada

Rewrite the expression using the properties of exponents.

[tex](x {}^{ \frac{1}{3} } \times x {}^{ \frac{1}{9} }) {}^{6} \div x {}^{ \frac{1}{3} } [/tex]
​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-01-2020

Answer:

  [tex]x^2\sqrt[3]{x}[/tex]

Step-by-step explanation:

The relevant properties of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

__

Your expression simplifies to ...

  [tex]\displaystyle x^{\frac{6}{3}+\frac{6}{9}-\frac{1}{3}}=x^{\frac{7}{3}}\\\\=x^2\sqrt[3]{x}[/tex]

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