Lesson 12

Meaning of Exponents

The practice problem answers are available at one of our IM Certified Partners

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 Grade6, 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 Grade6, Unit 6, Lesson 5.)

Problem 7

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

A rectangle partitioned by a horizontal line segment into two smaller rectangles. The bottom horizontal is labeled 6 and the vertical side lengths are labeled n and m.

​​

A:

$6(m+n)$

B:

$6n + m$

C:

$6n + 6m$

D:

$6mn$

E:

$(n+m)6$

(From Grade6, 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 Grade6, Unit 3, Lesson 16.)