Question

Rewrite the rational exponent expression (x²y³z) as a radical expression.

A) √(x¹⁰y¹⁵z⁷⁵)
B) x¹⁰y¹⁵z⁷⁵
C) √(x²y⁵z)
D) (x²y³z)

Answer 1

To rewrite the rational exponent expression (x²y³z) as a radical expression, combine the radicals for each term and the answer is option A) √(x¹⁰y¹⁵z⁷⁵).

Step-by-step explanation:

To rewrite the rational exponent expression (x²y³z) as a radical expression, we need to understand the relationship between rational exponents and radicals. The exponent ² represents the square root, while the exponent ³ represents the cube root. Therefore, we can rewrite the expression as √(x²) * ∛(y³) * ∛(z). Combining these radicals, the expression becomes √(x²y³z), so the correct answer is option A) √(x¹⁰y¹⁵z⁷⁵).