urvijamirc
urvijamirc urvijamirc
  • 19-02-2024
  • Mathematics
contestada

Find the value of x: (2/9)³ * (2/9)⁸=(2/9)^2x-1

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nikvist
nikvist nikvist
  • 19-02-2024

Answer:

Step-by-step explanation:

[tex]\left(\frac{2}{9}\right)^3\cdot\left(\frac{2}{9}\right)^8=\left(\frac{2}{9}\right)^{2x-1}\\\left(\frac{2}{9}\right)^{3+8}=\left(\frac{2}{9}\right)^{2x-1}\\\left(\frac{2}{9}\right)^{11}=\left(\frac{2}{9}\right)^{2x-1}\\11=2x-1,\quad x=6[/tex]

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