Dividing Exponents With a Larger or Equal Exponent in the Dividend ... - Free Printable

Let's solve each of these exponent division problems using the Quotient Rule of Exponents, which states:

> $\frac{a^m}{a^n} = a^{m-n}$

This rule applies when the base is the same. We'll simplify each expression step by step.

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1. $\frac{4^6}{4^2}$

Using the quotient rule:
$4^{6-2} = 4^4$

✔ Answer: $4^4$

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2. $\frac{4^8}{4^2}$

$4^{8-2} = 4^6$

✔ Answer: $4^6$

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3. $\frac{9^7}{9^6}$

$9^{7-6} = 9^1 = 9$

✔ Answer: $9$

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4. $\frac{8^6}{8^1}$

$8^{6-1} = 8^5$

✔ Answer: $8^5$

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5. $\frac{3^4}{3^3}$

$3^{4-3} = 3^1 = 3$

✔ Answer: $3$

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6. $\frac{7^6}{7^1}$

$7^{6-1} = 7^5$

✔ Answer: $7^5$

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7. $\frac{7^2}{7^1}$

$7^{2-1} = 7^1 = 7$

✔ Answer: $7$

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8. $\frac{9^8}{9^4}$

$9^{8-4} = 9^4$

✔ Answer: $9^4$

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9. $\frac{4^5}{4^4}$

$4^{5-4} = 4^1 = 4$

✔ Answer: $4$

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10. $\frac{8^3}{8^3}$

$8^{3-3} = 8^0 = 1$

✔ Answer: $1$

> Note: Any non-zero number raised to the power of 0 is 1.

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✔ Final Answers:

1. $4^4$
2. $4^6$
3. $9$
4. $8^5$
5. $3$
6. $7^5$
7. $7$
8. $9^4$
9. $4$
10. $1$

Let me know if you'd like these written in expanded form or evaluated numerically!