Grade 8Math

Negative Exponents

Negative Exponents is a skill on Pengi from Lesson 51: Negative Exponents and Scientific Notation for Small Numbers in Saxon Math, Course 3.

Key Concepts

Property For any nonzero number $x$ and any integer $n$: $$x^{ n} = \frac{1}{x^n}$$.

Examples $2^{ 3} = \frac{1}{2^3} = \frac{1}{8}$ $10^{ 2} = \frac{1}{10^2} = 0.01$ $5a^{ 4} = \frac{5}{a^4}$.

Explanation A negative exponent is a secret 'flip' instruction! It doesn't make the number negative; it tells the base to move to the other side of the fraction bar. The exponent then loses its negative sign. It’s the ultimate switcheroo for simplifying expressions!

Common Questions

What is Negative Exponents?

Negative Exponents is a skill on Pengi from Lesson 51: Negative Exponents and Scientific Notation for Small Numbers in Saxon Math, Course 3.

What grade level is Negative Exponents for?

Negative Exponents is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.

How can I learn Negative Exponents?

Pengi offers an AI-guided lesson for Negative Exponents that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.

How do I practice Negative Exponents?

After learning the concept, use the Practice mode to work through targeted exercises on Negative Exponents. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.

Which textbook covers Negative Exponents?

Negative Exponents is covered in Saxon Math, Course 3, specifically in Chapter 6: Number & Operations β€’ Data Analysis & Probability under Lesson 51: Negative Exponents and Scientific Notation for Small Numbers. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.

Is Negative Exponents free to study on Pengi?

Yes, the core Learn and Practice modes for Negative Exponents are available for free on Pengi. No credit card is required to start studying.