Simplifying expressions with exponents

Introduction

Exponents are a way to write repeated multiplication in a short form. For example, 2³ means 2 × 2 × 2. Learning how to simplify expressions with exponents helps you work with very large or very small numbers quickly. You will see exponents in science, tec...

Anaya sits at her desk, staring at the math problem her friend Jordan just solved. It's (6⁷ · 6³) / (6⁵ · 6²), and she wants to try it herself.

She starts with the numerator: 6⁷ · 6³

Since both factors have the same base 6, she applies the Product of Powers Property and adds the exponents 7 and 3 to get 10, turning the numerator into...