Final answer:
To rewrite the expression with a rational exponent as a radical expression, we can use the properties of rational exponents and radicals. Each expression can be simplified and rewritten using the appropriate roots.
Step-by-step explanation:
To rewrite the expression with a rational exponent as a radical expression, we need to understand the properties of rational exponents and radicals. Let's go through each expression one by one:
Four to the two-fifths power all raised the one fourth power: First, we simplify the rational exponent by multiplying the exponents: (four^(2/5))^(1/4). Then, we rewrite it as a radical: the fourth root of (four^(2/5)).
The tenth root of four: The tenth root of four is simply represented as √[10](4).
The fourth root of four: The fourth root of four is expressed as √[4](4).
The fifth root of four squared: First, we square four: four squared is 16. Then, we take the fifth root of 16, which can be written as √[5](16).
The square root of four to the tenth power: First, we raise four to the tenth power: four to the tenth power is 1048576. And then, we take the square root of 1048576, which can be represented as √(1048576).