Let’s solve each problem one by one.
We’re multiplying powers with the same base — that means we add the exponents!
Rule:
a^m · a^n = a^(m+n)
---
1. 6⁷ · 6⁸ → 6^(7+8) =
6¹⁵
2. 3¹ · 3⁸ → 3^(1+8) =
3⁹
3. 8⁹ · 8⁹ → 8^(9+9) =
8¹⁸
4. 8⁵ · 8⁶ → 8^(5+6) =
8¹¹
5. 3⁷ · 3² → 3^(7+2) =
3⁹
6. 5³ · 5⁶ → 5^(3+6) =
5⁹
7. 3⁹ · 3⁷ → 3^(9+7) =
3¹⁶
8. 5⁰ · 5⁹ → 5^(0+9) =
5⁹
*(Remember: any number to the power of 0 is 1, but here we just add exponents — 0 + 9 = 9)*
9. 3⁵ · 3⁸ → 3^(5+8) =
3¹³
10. 3¹ · 3⁸ → 3^(1+8) =
3⁹
---
Final Answer:
1. 6¹⁵
2. 3⁹
3. 8¹⁸
4. 8¹¹
5. 3⁹
6. 5⁹
7. 3¹⁶
8. 5⁹
9. 3¹³
10. 3⁹
Parent Tip: Review the logic above to help your child master the concept of multiplying exponents with same base worksheet.
