tabby122004
tabby122004 tabby122004
  • 12-12-2020
  • Mathematics
contestada

Determine whether x^y•x^z=z^18
is sometimes, always, or never true. Explain.​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-12-2020

9514 1404 393

Answer:

  sometimes true

Step-by-step explanation:

The equation reduces to ...

  x^y·x^z = z^18

  x^(y+z) = z^18

This is not true in general, but is true for specific cases of x, y, and z. For example,

  4^(7+2) = 2^18 . . . . (x, y, z) = (4, 7, 2)

  4^(7+0) ≠ 0^18 . . . . (x, y, z) = (4, 7, 0)

The equation is sometimes true.

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