Number, NAPX-H4-CA10

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

535

Question

838^3 is equal to which of the following?

Worked Solution
838^3 = 8 × 8 × 8
= 8×4×2×4×28 \times 4 \times 2 \times 4 \times 2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$8^3$ is equal to which of the following?
workedSolution
| | | | --------------------- | -------------- | | $8^3$ | \= 8 × 8 × 8 | | | \= {{{correctAnswer}}} |
correctAnswer
$8 \times 4 \times 2 \times 4 \times 2$

Answers

Is Correct?Answer
x

163÷416^3 \div 4

x

42×2×24^2 \times 2 \times 2

✓

8×4×2×4×28 \times 4 \times 2 \times 4 \times 2

x

3×8×8×83 \times 8 \times 8 \times 8

Variant 1

DifficultyLevel

535

Question

15315^3 is equal to which of the following?

Worked Solution
15315^3 = 15 × 15 × 15
= 15×5×5×3×315 \times 5 \times 5 \times 3 \times 3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$15^3$ is equal to which of the following?
workedSolution
| | | | --------------------- | -------------- | | $15^3$ | \= 15 × 15 × 15 | | | \= {{{correctAnswer}}} |
correctAnswer
$15 \times 5 \times 5 \times 3 \times 3$

Answers

Is Correct?Answer
x

152×3×315^2 \times 3 \times 3

✓

15×5×5×3×315 \times 5 \times 5 \times 3 \times 3

x

15×15×15×315 \times 15 \times 15 \times 3

x

154÷315^4 \div 3

Variant 2

DifficultyLevel

534

Question

21421^4 is equal to which of the following?

Worked Solution
21421^4 = 21 × 21 × 21 × 21
= 21×21×7×3×3×721 \times 21 \times 7 \times 3\times 3\times 7

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$21^4$ is equal to which of the following?
workedSolution
| | | | --------------------- | -------------- | | $21^4$ | \= 21 × 21 × 21 × 21| | | \= {{{correctAnswer}}} |
correctAnswer
$21 \times 21 \times 7 \times 3\times 3\times 7$

Answers

Is Correct?Answer
x

21×21×21×21×421 \times 21 \times 21 \times 21 \times 4

x

21×21×7×3×321 \times 21 \times 7 \times 3\times 3

x

212×7×321^2 \times 7 \times 3

✓

21×21×7×3×3×721 \times 21 \times 7 \times 3\times 3\times 7

Variant 3

DifficultyLevel

543

Question

Which of the following is equal to 12212^2?

Worked Solution
12212^2 = 12 × 12
= 4 × 3 × 4 × 3
= 424^2 × 323^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is equal to $12^2$?
workedSolution
| | | | --------------------- | -------------- | | $12^2$ | \= 12 × 12| ||= 4 × 3 × 4 × 3| ||= {{{correctAnswer}}}
correctAnswer
$4^2$ × $3^2$

Answers

Is Correct?Answer
x

2 × 4 × 3

x

4 × 3 × 12 × 2

✓

424^2 × 323^2

x

2 × 6 × 6

Variant 4

DifficultyLevel

558

Question

Which of the following is NOT equal to 434^3?

Worked Solution
434^3 = 4 × 4 × 4
= 64

Check each option:
424^2 × 414^1 = 64  ✓\checkmark
2 × 2 × 2 × 2 × 2 × 2 = 64  ✓\checkmark
8 × 3 × 2= 48  x
44÷(2×2)4^4 \div (2 × 2) = 64  ✓\checkmark

∴\therefore 8 × 3 × 2 is NOT equal to 434^3.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is NOT equal to $4^3$?
workedSolution
| | | | --------------------- | -------------- | | $4^3$ | \= 4 × 4 × 4| | | \= 64 |
sm_nogap Check each option:
>| | | -------------------- | | $4^2$ × $4^1$ = 64  $\checkmark$ | | 2 × 2 × 2 × 2 × 2 × 2 = 64  $\checkmark$| | 8 × 3 × 2= 48  x | | $4^4 \div (2 × 2)$ = 64  $\checkmark$ |

$\therefore$ {{correctAnswer}} is NOT equal to $4^3$.
correctAnswer
8 × 3 × 2

Answers

Is Correct?Answer
x

424^2 × 414^1

x

2 × 2 × 2 × 2 × 2 × 2

✓

8 × 3 × 2

x

44÷(2×2)4^4 \div (2 × 2)

Variant 5

DifficultyLevel

552

Question

Which of the following is NOT equal to 282^8?

Worked Solution
282^8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 256

Check each option:
16216^2 = 256  ✓\checkmark
2 × 2 × 4 × 4 × 4 × 4 = 1024  x
222^2 × 222^2 × 222^2 × 222^2= 256  ✓\checkmark
210÷(2×2)2^10 \div (2 × 2) = 64  ✓\checkmark

∴\therefore 2 × 2 × 4 × 4 × 4 × 4 is NOT equal to 282^8.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is NOT equal to $2^8$?
workedSolution
| | | | --------------------- | -------------- | | $2^8$ | \= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2| | | \= 256 |
sm_nogap Check each option:
>| | | -------------------- | | $16^2$ = 256  $\checkmark$ | | 2 × 2 × 4 × 4 × 4 × 4 = 1024  x| | $2^2$ × $2^2$ × $2^2$ × $2^2$= 256  $\checkmark$ | | $2^10 \div (2 × 2)$ = 64  $\checkmark$ |

$\therefore$ {{correctAnswer}} is NOT equal to $2^8$.
correctAnswer
2 × 2 × 4 × 4 × 4 × 4

Answers

Is Correct?Answer
x

16216^2

✓

2 × 2 × 4 × 4 × 4 × 4

x

222^2 × 222^2 × 222^2 × 222^2

x

210÷(2×2)2^{10} \div (2 × 2)

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