TerynO694504 TerynO694504
  • 30-10-2022
  • Mathematics
contestada

Simplify the following expression. 11 35 = 3 A. 12 B. 1 12 C. 1 81 D 81

Respuesta :

AkilanR226505 AkilanR226505
  • 30-10-2022

Given data:

The given expression is 3^(11/5)÷3^(-9/5).

The given expression can be written as,

[tex]\begin{gathered} \frac{3^{\frac{11}{5}}}{3^{-\frac{9}{5}}}=3^{\frac{11}{5}}\times3^{\frac{9}{5}} \\ =3^{\frac{(11+9)}{5}} \\ =3^4 \\ =81 \end{gathered}[/tex]

Thus, the value of the given expression is 81, so option (D) is correct.

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