Rewrite the expression using a positive exponent.
\[
3.5^{-9} \cdot 3.5^{5}
\]
\[
3.5^{-9} \cdot 3.5^{5}=
\]
(Simplify your answer. Type exponential notation with a positive exponent.)
Answer
Simplify the expression to get the final answer: \(\boxed{0.006663890045814244}\)
Step 1 ：Rewrite the expression using a positive exponent: \(3.5^{-9} \cdot 3.5^{5}\)
Step 2 ：According to the rule of exponents, when you multiply two exponents with the same base, you add the powers. So, we can add -9 and 5 to get the new exponent: \(-9 + 5 = -4\)
Step 3 ：The new exponent is -4. However, the expression needs to be rewritten with a positive exponent. To do this, we can use the rule that \(a^{-n} = \frac{1}{a^n}\). So, we can rewrite \(3.5^{-4}\) as \(\frac{1}{3.5^{4}}\)
Step 4 ：Simplify the expression to get the final answer: \(\boxed{0.006663890045814244}\)
