Laws of Exponents
Grade 8 · Math · Exponents and Scientific Notation · Arkansas, USA
Lesson Summary
Learn the rules for multiplying, dividing, and raising powers to powers.
Explanation
Exponent rules let you simplify expressions without writing out every factor. When you multiply powers with the same base, add the exponents: x³ · x² = x⁵. When you divide, subtract the exponents: x⁵ / x² = x³. When you raise a power to another power, multiply the exponents: (x²)³ = x⁶. These rules speed up calculations and are used constantly in algebra and science.
Practice Questions
Q1: Simplify: x⁴ · x³
Answer: x⁷. When multiplying same bases, add the exponents: 4 + 3 = 7.
Q2: Simplify: (y³)²
Answer: y⁶. When raising a power to a power, multiply the exponents: 3 × 2 = 6.
Q3: Simplify: a⁸ / a⁵
Answer: a³. When dividing same bases, subtract the exponents: 8 − 5 = 3.
People Also Ask
What is Laws of Exponents in Grade 8 Math?+
Laws of Exponents is a lesson in the Exponents and Scientific Notation chapter of Grade 8 Math. It is part of the Arkansas, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Laws of Exponents?+
Laws of Exponents is taught in Grade 8 as part of the Math curriculum in Arkansas, USA.
How can I help my child with Exponents and Scientific Notation in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Exponents and Scientific Notation topics.