Carry out three steps of the Bisection Method for $f(x)=2^{x}-x^{5}$ as follows:
(a) Show that $f(x)$ has a zero in $[1,2]$.
(b) Determine which subinterval, $[1,1.5]$ or $[1.5,2]$, contains a zero.
(c) Determine which interval, $[1,1.25]$, $[1.25,1.5]$, $[1.5,1.75]$, or $[1.75, 2]$, contains a zero.

In part (b), the interval with a zero is .

In part (c), the interval with a zero is .