Donlito8232 Donlito8232
  • 22-04-2022
  • Mathematics
contestada

Which expression is equivalent to cube root of 27 x superscript 18? 3x3 3x6 9x3 9x6

Respuesta :

joshuafiffie0
joshuafiffie0 joshuafiffie0
  • 22-04-2022

Answer:

9x3

Step-by-step explanation:

9x3=27

27^3 =3

Answer Link
jdoe0001 jdoe0001
  • 22-04-2022

[tex]\sqrt[3]{27 x^{18}}\qquad \begin{cases} 27=3\cdot 3\cdot 3\\ \qquad 3^3\\ x^{18}=x^{6\cdot 3}\\ \qquad (x^6)^3 \end{cases}\qquad \implies \begin{array}{llll} \sqrt[3]{3^3 (x^6)^3}\implies \sqrt[3]{(3x^6)^3} \\\\\\ 3x^6 \end{array}[/tex]

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