# Lesson 12

Meaning of Exponents

Let’s see how exponents show repeated multiplication.

### Problem 1

Select all the expressions that are equivalent to 64.

A:

$$2^6$$

B:

$$2^8$$

C:

$$4^3$$

D:

$$8^2$$

E:

$$16^4$$

F:

$$32^2$$

### Problem 2

Select all the expressions that equal $$3^4$$.

A:

7

B:

$$4^3$$

C:

12

D:

81

E:

64

F:

$$9^2$$

### Problem 3

$$4^5$$ is equal to 1,024. Evaluate each expression.

1. $$4^6$$

2. $$4^4$$

3. $$4^3\boldcdot 4^2$$

### Problem 4

$$6^3=216$$. Using exponents, write three more expressions whose value is 216.

### Problem 5

Find two different ways to rewrite $$3xy + 6yz$$ using the distributive property.

(From Unit 6, Lesson 11.)

### Problem 6

Solve each equation.

$$a - 2.01 = 5.5$$

$$b + 2.01 = 5.5$$

$$10c = 13.71$$

$$100d = 13.71$$

(From Unit 6, Lesson 5.)

### Problem 7

Which expressions represent the total area of the large rectangle? Select all that apply.

​​

A:

$$6(m+n)$$

B:

$$6n + m$$

C:

$$6n + 6m$$

D:

$$6mn$$

E:

$$(n+m)6$$

(From Unit 6, Lesson 10.)

### Problem 8

Is each statement true or false? Explain your reasoning.

1. $$\frac{45}{100} \boldcdot 72 = \frac{45}{72} \boldcdot 100$$
2. 16% of 250 is equal to 250% of 16
(From Unit 3, Lesson 16.)