AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondNegative Exponents

Negative Exponents Answers

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1
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Which of the following expressions are equivalent to 6-3?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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What is the product of 44(4–7)(4)?

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
3

Which of the following expressions are equivalent to ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Write the expression 44(4–7)(4) using a single exponent.

A
4–28
B
4–4
C
4–3
D
4–2
5

Find the value of a that makes the statement true.a =

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Answer:

-5

6

Simplify (23)–2.

A
Option
Option A
B
Option
Option B
C
2
Option C
D
64
Option D
7

Simplify . Assume .

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A
mc001-3.jpg
Option A
B
mc001-4.jpg
Option B
C
mc001-5.jpg
Option C
D
mc001-6.jpg
Option D
8

Simplify Assume .

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A
Option
Option A
B
Option
Option B
C
Option
Option C
9

mc001-1.jpg

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Select all of the expressions that are equal to the product of 10x9 and (60x–6)–1. Assume .

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
6x15
11

Javier simplified the expression below. Find and describe the three mistakes he made.

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Answer:

Javier made three primary mistakes in his simplification: 1. In the third step, he did not raise the coefficients (5 and 20) to the third power as required by the power of a product rule. 2. In the denominator, he incorrectly raised x to the third power and got x^4 (likely by adding the exponents 1 and 3) instead of x^3. 3. In the final step, he divided the exponents (24 / 4 = 6) instead of using the quotient of powers property, which requires subtracting the exponents (24 - 4 = 20).

12

Simplify the quotient .

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A
–243
B
–1/243
C
1/243
D
243
13

Simplify

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A
–100,000
Option A
B
Option
Option B
C
Option
Option C
D
100,000
Option D
14

Simplify . Assume .

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A
Option
Option A
B
Option
Option B
C
Option
Option C
15

Which of the following did you include in your response?

A
Javier did not raise the coefficients to the third power
B
When Javier raised to the third power, he wrote that , but it equals .
Option B
C
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

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