michelle.odonnell
michelle.odonnell 3d ago • 0 views

Simple Exponent Examples with Solutions

Hey there! 👋 Let's make exponents easy with some simple examples and practice questions. This guide will quickly get you up to speed. You got this! 💪
🧮 Mathematics

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Ai_Weiwei_Art Jan 7, 2026

📚 Quick Study Guide

  • 🔢 An exponent indicates how many times a base number is multiplied by itself.
  • 📝 The general form is $a^n$, where $a$ is the base and $n$ is the exponent.
  • ➕ When multiplying exponents with the same base, add the exponents: $a^m \cdot a^n = a^{m+n}$.
  • ➗ When dividing exponents with the same base, subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$.
  • 0️⃣ Any number raised to the power of 0 is 1: $a^0 = 1$ (if $a \neq 0$).
  • 1️⃣ Any number raised to the power of 1 is itself: $a^1 = a$.
  • ✨ A negative exponent indicates a reciprocal: $a^{-n} = \frac{1}{a^n}$.

Practice Quiz

  1. What is the value of $2^3$?
    1. 4
    2. 6
    3. 8
    4. 9
  2. Simplify: $3^2 \cdot 3^1$
    1. $3^2$
    2. $3^3$
    3. $9^2$
    4. $9^3$
  3. What is $5^0$?
    1. 0
    2. 1
    3. 5
    4. Undefined
  4. Simplify: $\frac{4^5}{4^2}$
    1. $4^3$
    2. $4^7$
    3. $1^3$
    4. $1^7$
  5. What is the value of $2^{-2}$?
    1. -4
    2. $\frac{1}{4}$
    3. 4
    4. -$\frac{1}{4}$
  6. Simplify: $(2^2)^3$
    1. $2^5$
    2. $2^6$
    3. $2^8$
    4. $2^9$
  7. What is $10^3$?
    1. 100
    2. 30
    3. 1000
    4. 300
Click to see Answers
  1. C
  2. B
  3. B
  4. A
  5. B
  6. B
  7. C

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