Lesson 12
Meaning of Exponents
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.

\(4^6\)

\(4^4\)
 \(4^3\boldcdot 4^2\)
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.
Problem 6
Solve each equation.
\(a  2.01 = 5.5\)
\(b + 2.01 = 5.5\)
\(10c = 13.71\)
\(100d = 13.71\)
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:
(From Grade6, Unit 6, Lesson 10.)
$(n+m)6$
Problem 8
Is each statement true or false? Explain your reasoning.
 \(\frac{45}{100} \boldcdot 72 = \frac{45}{72} \boldcdot 100\)
 16% of 250 is equal to 250% of 16