Simplify.

Question

Rewrite the expression in the form
$$b^n$$.

$${\displaystyle \frac{b^{10}}{b^6}}=$$

Answer 1

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 $\boxed{b^4}$.

Answer 2

Simplify.
Rewrite the expression in the form
$$a^n$$.
$$a\cdot a^7=$$

Answer 3

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 $\boxed{a^8}$.