If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent posi-tive real numbers. -m √2y⁵

Key Concepts

Exponential Form

Exponential form represents numbers using a base raised to a power, indicating repeated multiplication. For example, a number like 2^3 means 2 multiplied by itself three times, equaling 8. This form is useful for simplifying calculations and expressing large or small numbers compactly.

Radical Form

Radical form expresses numbers as roots, such as square roots or cube roots. For instance, √x represents the square root of x, which is the value that, when multiplied by itself, gives x. Converting between radical and exponential forms is essential for solving equations and simplifying expressions.

Properties of Exponents and Radicals

Understanding the properties of exponents and radicals is crucial for manipulating expressions. Key properties include the power of a product, power of a quotient, and the relationship between exponents and roots, such as a^(1/n) = √[n]{a}. These properties facilitate the conversion between exponential and radical forms.