Question

Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents.

Answer 1

Rational exponents are beneficial in removing the root over or radicals

Let's check the rule

• n√a=a^{1/n}

Take an example

• ⁵√3²
• (3²)⅕
• 3⅖