AnswersAlgebraic Reasoning TSI 26-27 Supplemental Wk4Numerical Expressions with Exponents

Numerical Expressions with Exponents Answers

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Write 74 in expanded form. Then check all that apply.

A
The base is 7.
B
The exponent is 4.
C
The exponent tells you to multiply 7 together 4 times.
D
The exponent tells you to multiply 4 together 7 times.
E
The expanded form is 4 × 4 × 4 × 4 × 4 × 4 × 4.
F
The expanded form is 7 × 7 × 7 × 7.
3

Evaluate 52. Check all that apply.

A
The base is 5.
B
The exponent is 2.
C
The expanded form is 2 × 2 × 2 × 2 × 2.
D
The expanded form is 5 × 5.
E
52 = 25
F
52 = 32
4

155 = 15 + 15 + 15 + 15 + 1515 × 15 × 15 × 15 × 1515 × 15 × 15 × 1515 × 5.

A
15 + 15 + 15 + 15 + 15
B
15 × 15 × 15 × 15 × 15
C
15 × 15 × 15 × 15
D
15 × 5
5

Select the correct expanded form for (Two-thirds) Superscript 4 .

Question illustration
A
Option
B
Option
C
Option
D
Option
6

Evaluate (Two-fifths) cubed . Check all that apply.

Question illustration
A
The exponent is .
B
The expanded form is .
C
The expanded form is .
D
Option
E
Option
8

Evaluate 73.

A
21
B
73
C
343
D
2,187
9

miles

Answer:

45

10

Choose the student who evaluated the power correctly.

A
Alexander’s work53 = 3 × 3 × 3 × 3 × 353 = 243
B
Simone’s work53 = 5 × 353 = 15
C
Ricky’s work53 = 5 × 5 × 553 = 125
11

Did Kenisha correctly evaluate the power? If not, why not?

A
Yes, she evaluated the power correctly.
B
No, she should have used only 2 factors of the base, not 3.
C
No, she didn’t use the entire fraction as the base, so she wrote the expanded form incorrectly.
D
No, she multiplied the factors in the expanded form incorrectly.
13

Which of the following ideas did you include in your response? Check all that apply.

A
Three to the fourth means multiply 3 together 4 times.
B
The expanded form is 3 x 3 x 3 x 3.
C
To evaluate the power, find the product of the expanded form.
D
3 times 3 is 9, 9 times 3 is 27, and 27 times 3 is 81.

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