Name: _______________________
Algebraic Expressions 2 – Intro to Exponents
Date: _____________
Class: Pre-Algebra
Sheet # 14-01
Write each of the following expressions in exponential form.
1
4
7
2
5
8
3
6
a●a●a●a●b●b●a●a
Investigation 1: Complete the table. The first row has been
done for you.
x x x x x x
● ● ● ● ●
y y y y y y
9
Evaluate the following expressions.
(−1)308
−32
10
11
12
13
14
15
(−1)216
(−10)3
16
17
(−10)6
18
20
Describe the difference between (−3)4 and −34 .
ERROR ANALYSIS Describe and correct the
21 error in evaluating the expression.
−(−3)2
(−3)3
(−3)2
19
Challenge!!! Will the answer to (−20)405 be positive or negative?
Use the chart above to help you decide.
−33
−(−3)2
PRIME FACTORIZATION Write the prime
22 factorization of 675 using exponents.
24
1 1 1 1
23 STRUCTURE Write − (4 ∙ 4 ∙ 4 ∙ 4) using
exponents.
The largest Russian nesting doll is 12 inches tall. You must make the
7
height of each of the other doll 10 the height of the next larger doll.
Part A Write an expression involving a power for the height of the
smallest doll.
Part B What is the height of the smallest doll?
25
26
27
Your new job contract has your hourly wage determined by the equation 2ℎ − 1. Your boss accidently
enters the formula 2ℎ−1 into his excel spreadsheet to calculate your hours. When you ask him about it,
he tells you there is no difference in the two formulas. Complete the table below to form an argument.