Question

19.
a. rewrite \\( \sqrt 5 { 3 ^ { 4 } } \\) as an expression with a rational exponent.
b. rational exponent:
c. mark this number on the graph of \\( f ( x ) = 3 ^ { x } \\).
explanation:
20.
a. graph \\( g ( x ) = 3 ^ { - x } \\) on the graph of \\( f ( x ) \\) in problem 19.
b. explain how the graphs of the two functions can be
meaning of a negative exponent.
explanation:
\\( f ( x ) = 3 x \\) for problems 19 - 20.

Explanation:

Step1: Use the formula $\sqrt[n]{a^m}=a^{\frac{m}{n}}$

For $\sqrt[5]{3^4}$, here $n = 5$ and $m = 4$.
So, $\sqrt[5]{3^4}=3^{\frac{4}{5}}$

Answer:

$3^{\frac{4}{5}}$