Lesson 7: Practice Problems

Problem 1

Write with a single exponent:

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

Problem 2

Noah says that $2^{4} \cdot 3^{2} = 6^{6}$ . Tyler says that $2^{4} \cdot 4^{2} = 16^{2}$ .

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

Problem 3 From Unit 5 Lesson 7

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.

Problem 4 From Unit 5 Lesson 21

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

A scatter plot with mostly a negative correlation.

The slope is positive.
The slope is zero.
The slope is negative.
There is no association.