# Equations with Rational Exponents

> This section solves equations with rational exponents and surds that reduce to a quadratic. Isolate the root or x^m/n, raise both sides to the reciprocal power, then check domain and extraneous…

- Page: https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds/equations-with-rational-exponents

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 12](https://www.hlayiso.com/grade-12) › [Mathematics](https://www.hlayiso.com/grade-12/mathematics) › [Notes](https://www.hlayiso.com/grade-12/mathematics/notes) › [Exponents and Surds](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds) › [Equations with Rational Exponents](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds/equations-with-rational-exponents)

## Full notes

This is a preview of the Equations with Rational Exponents notes for Grade 12 Mathematics. Create a free Hlayiso account to read the full notes, practise every question and track your progress.

## More in Exponents and Surds

- [Exponential Equations](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds/exponential-equations) — Previous section
- [Exam-Type Examples](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds/exam-type-examples) — Next section
- [All Exponents and Surds sections](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds)

## Frequently asked questions

### What will I learn in "Equations with Rational Exponents"?

This section covers Equations with Rational Exponents as part of Exponents and Surds in Grade 12 Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

### Is this section aligned with the CAPS curriculum?

Yes. All notes on Hlayiso, including "Equations with Rational Exponents", are written against the official CAPS curriculum and ATP for Grade 12 Mathematics.

### What should I study after "Equations with Rational Exponents"?

Continue with the next section in Exponents and Surds, or test your understanding with the interactive quiz linked to this section.

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.