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Let's simplify each of these expressions using exponent rules. 

### a) \( 4^8 \times 4^3 \)
Using the rule for multiplying powers with the same base, we add the exponents:
\[
4^8 \times 4^3 = 4^{8+3} = 4^{11}
\]

### b) \( 6^6 \times 6^2 \)
Similarly, for powers with the same base, add the exponents:
\[
6^6 \times 6^2 = 6^{6+2} = 6^8
\]

### c) \( 8^7 \div 8 \)
Using the rule for dividing powers with the same base, subtract the exponents:
\[
8^7 \div 8^1 = 8^{7-1} = 8^6
\]

### d) \( 7^8 \div 7^3 \)
For division, subtract the exponents:
\[
7^8 \div 7^3 = 7^{8-3} = 7^5
\]

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Would you like further details on any of these rules?

Here are 5 related questions:
1. How would you simplify \( 9^5 \times 9^2 \)?
2. What is \( 5^4 \div 5^2 \)?
3. If you have \( 10^6 \times 10^3 \), how do you simplify it?
4. Simplify \( 12^8 \div 12^1 \).
5. How do the rules for exponents change when adding or subtracting bases?

**Tip:** Always apply the same rules of addition or subtraction of exponents only when the base remains the same.

Simplify the following expressions:
(a) 4^8 * 4^3
(b) 6^6 * 6^2
(c) 8^7 ÷ 8
(d) 7^8 ÷ 7^3

Learn how to simplify exponent expressions such as 4^8 * 4^3, 6^6 * 6^2, and others by applying the laws of exponents. This problem covers exponent multiplication and division rules. Suitable for Grades 7-9.

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