Final answer:
To convert expressions with rational exponents to radical expressions, apply the formula x^(n/m) = m(sqrt)(x^n). The given expressions are rewritten using rational exponents: (4x³)^(1/7), (6x)^(1/4), 5^(1/3), and (3x)^(1/10).
Step-by-step explanation:
To rewrite expressions with rational exponents into radical expressions, we use the principle that x^(n/m) = m√(x^n), where m√ refers to the m-th root of x raised to the nth power. With that in mind, let's convert each expression:
- For 7√(4x³), we have an expression with a rational exponent of 1/7, so we write it as (4x³)^(1/7).
- For 4√(6x), which has a rational exponent of 1/4, we write it as (6x)^(1/4).
- For 3√(5), the rational exponent is 1/3, so we write it as 5^(1/3).
- For 10√(3x), which has a rational exponent of 1/10, we write it as (3x)^(1/10).