Answer
$\frac{b^4}{c^6}$
Work Step by Step
We start with the given expression: $bc^{-6}b^3$.
We re-arrange the terms using the commutative property of multiplication: $bb^3c^{-6}$
To multiply powers with the same base, we add the exponents: $b^4c^{-6}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression:
$\frac{b^4}{c^6}$