Simple Exponent Examples with Solutions

📚 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