Simplify.

Rewrite the expression in the form
\[b^n\].

\[\dfrac{b^{10}}{b^6}=\]

3 answers

We can simplify this expression by using the rule $b^m/b^n = b^{m-n}$. Applying this rule to the given expression, we have \[\frac{b^{10}}{b^6} = b^{10-6}=b^4.\] Thus, the expression is simplified to $\boxed{b^4}$.
Simplify.
Rewrite the expression in the form
\[a^n\].
\[a\cdot a^7=\]
We can rewrite $a\cdot a^7$ as $a^1\cdot a^7$.

Using the rule $a^m\cdot a^n = a^{m+n}$, we can simplify this to $a^{1+7}=a^8$.

Therefore, the expression is equivalent to $\boxed{a^8}$.