Multiplication with exponents

Key Notes :

Multiplication with Exponents 📚✨

What are exponents?

An exponent tells us how many times a number is multiplied by itself.

• Example: 2³=2×2×2=8

Multiplying numbers with the same base 🔗

Rule: When multiplying powers with the same base, add their exponents.

a^m×aⁿ=a^m+n

Example:

• 3²×3⁴=3²⁺⁴=3⁶=729

Multiplying numbers with different bases ⚡

Rule: If the bases are different, you cannot add the exponents. Multiply the numbers separately.

Example:

2³×5³=(2×5)³=10³=1000

✅ Only works if the exponents are the same.

Special case – multiplying powers of 1

• 1ⁿ=1 for any n
• Example: 1⁵×1³=1⁵⁺³=1⁸=1

Quick tips for students ✏️

• Always check if the base is the same before adding exponents.
• If bases are different, keep them separate unless the exponent is the same.
• Practice with numbers and variables: x²×x⁵=x⁷

💡 Remember: Multiplication with exponents is about adding exponents for the same base and keeping exponents separate for different bases.

Learn with an example

Let’s practice!🖊️