Lesson 7

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. \(\frac{(\frac{5}{2})^8}{(\frac{5}{2})^6}\)

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.

Make a sketch of a linear relationship with a slope of 4 and a negative \(y\)-intercept. Show how you know the slope is 4 and write an equation for the line.

Using the data in the scatter plot, what can you tell about the slope of a good model?

The slope is positive.

The slope is zero.

The slope is negative.

There is no association.