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.

\(4^6\)

\(4^4\)
 \(4^3\boldcdot 4^2\)
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 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