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

9514 1404 393

  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.