Simplify the following and leave your answer in exponential form

Question

4^17/4^8

Answer 1

Using the quotient rule for exponents, $$ \frac{a^m}{a^n} = a^{m-n}, $$ where $$ a = 4 $$, $$ m = 17 $$, and $$ n = 8 $$, we can simplify as follows:

$$ \frac{4^{17}}{4^8} = 4^{17-8} = 4^9 $$

Therefore, the simplified form in exponential form is $$ 4^9 $$.