Answer
$1,000,000,000$
Work Step by Step
We want to break down this problem a little to be able to work with it. The number $100$ can be broken down into a small base raised to a power: $10^2$. Let us rewrite this number:
$(10^2)^{4.5}$
Raising a power to a power means we can multiply the two powers or exponents together:
$10^{(2)(4.5)}$
Multiply to simplify:
$10^{9}$
Simplify by raising the base to the specified power. The number $10^{9}$ can be written as $1$ followed by $9$ zeros:
$1,000,000,000$
