Simplify the following and leave your answer in exponential form
4^17/4^8
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 $$ 4^9 $$.
To simplify the expression (4^17)/(4^8), we can use the rule of exponents that states when dividing two exponents with the same base, you subtract the exponents.
So, in this case, we have:
(4^17)/(4^8) = 4^(17-8)
Simplifying further:
4^(17-8) = 4^9
Therefore, the simplified expression in exponential form is 4^9.
To simplify the expression (4^17)/(4^8) and express the answer in exponential form, we can use the rule of exponents which states that when you divide two numbers with the same base, you subtract the exponents.
In this case, the base is 4. Therefore, to simplify, subtract the exponent of the denominator from the exponent of the numerator.
The exponent of the numerator is 17, and the exponent of the denominator is 8. Subtracting these exponents, we have:
17 - 8 = 9
Therefore, (4^17)/(4^8) simplifies to 4^9.
In exponential form, the answer is 4^9.