Multiplying Exponents (All Positive) (A) - Free Printable

Let’s go through each problem one by one. The rule we’re using is:
When multiplying powers with the same base, add the exponents.
That means:
> $ a^m \cdot a^n = a^{m+n} $

We’ll apply this to every problem.

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1. $ 6^7 \cdot 6^8 $
Add exponents: 7 + 8 = 15 → $ 6^{15} $

2. $ 3^1 \cdot 3^8 $
Add exponents: 1 + 8 = 9 → $ 3^9 $

3. $ 8^9 \cdot 8^9 $
Add exponents: 9 + 9 = 18 → $ 8^{18} $

4. $ 8^5 \cdot 8^6 $
Add exponents: 5 + 6 = 11 → $ 8^{11} $

5. $ 3^7 \cdot 3^2 $
Add exponents: 7 + 2 = 9 → $ 3^9 $

6. $ 5^3 \cdot 5^6 $
Add exponents: 3 + 6 = 9 → $ 5^9 $

7. $ 3^9 \cdot 3^7 $
Add exponents: 9 + 7 = 16 → $ 3^{16} $

8. $ 5^0 \cdot 5^0 $
Add exponents: 0 + 0 = 0 → $ 5^0 $
And remember: any number to the power of 0 is 1 → so $ 5^0 = 1 $

9. $ 3^5 \cdot 3^8 $
Add exponents: 5 + 8 = 13 → $ 3^{13} $

10. $ 3^1 \cdot 3^8 $
Add exponents: 1 + 8 = 9 → $ 3^9 $

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All answers match what’s shown in the image — and they are correct!

Final Answer:
1. $ 6^{15} $
2. $ 3^9 $
3. $ 8^{18} $
4. $ 8^{11} $
5. $ 3^9 $
6. $ 5^9 $
7. $ 3^{16} $
8. $ 1 $
9. $ 3^{13} $
10. $ 3^9 $