# Lesson 7

Practice with Rational Bases

### Problem 1

Write with a single exponent:

1. $$\frac{7^6}{7^2}$$
2. $$(11^4)^5$$
3. $$4^2 \boldcdot 4^6$$
4. $$6 \boldcdot 6^8$$
5. $$(12^2)^7$$
6. $$\frac{3^{10}}{3}$$
7. $$(0.173)^9 \boldcdot (0.173)^2$$
8. $$\frac{0.87^5}{0.87^3}$$
9. $$\frac{(\frac{5}{2})^8}{(\frac{5}{2})^6}$$

### Solution

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### Problem 2

Noah says that $$2^4 \boldcdot 3^2 = 6^6$$. Tyler says that $$2^4 \boldcdot 4^2 = 16^2$$.

1. Do you agree with Noah? Explain or show your reasoning.
2. Do you agree with Tyler? Explain or show your reasoning.

### Solution

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