fathima45 fathima45
  • 10-04-2020
  • Mathematics
contestada

( 16 / 9x^4 ) ^-(3/2)​

Respuesta :

Hrishii
Hrishii Hrishii
  • 10-04-2020

Step-by-step explanation:

[tex] \bigg(\frac{16}{9x^4}\bigg)^{(-\frac {3}{2})} \\\\

=\bigg(\frac{9x^4}{16}\bigg)^{(\frac {3}{2})} \\\\

=\bigg(\frac{(3x^2)^2}{4^2}\bigg)^{(\frac {3}{2})} \\\\

=\bigg(\frac{(3x^2)^{2\times\frac {3}{2} } }{4^{2\times\frac {3}{2}} }\bigg) \\\\

=\bigg(\frac{(3x^2)^{3}}{4^{3} }\bigg) \\\\

=\bigg(\frac{27x^{6}}{64}\bigg) \\\\

[/tex]

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