Q1 Indices in their simplest form 1

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TEAME CIT

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TEAME CIT 8 years, 5 months ago

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TEAME CIT 9 years, 2 months ago

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Name	Status	Author	Last Modified
Q1 Indices in their simplest form 1	draft	TEAME CIT	08/10/2016 22:19
Q1(a) Indices in their simplest form 1	draft	Julie Crowley	08/11/2016 17:03
Q1(b) Indices in their simplest form 1	draft	Julie Crowley	08/11/2016 17:01
Julie's copy of Q1(b) Indices in their simplest form 1	draft	Julie Crowley	15/11/2016 15:34

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Question statement

Writing Indices in their simplest form

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	list	[ 3, 2 ]
num12	list	[ 3, 4 ]
ans11a	decimal	dec("8")
ans12a	decimal	dec("8")
ans13a	decimal	dec("4")
ans14a	decimal	dec("16")
ans11	decimal	dec("1.99999999999999861370563888010986161855")
ans12	decimal	dec("4.000000000000002772588722239782198574956")
ans13	decimal	dec("2")
ans14	decimal	dec("8")
num21	list	[ 2, 3, 4, 5 ]
num22	integer	12
ans21	number	5
ans22	number	-13
num23	list	[ 4, 3, 5, 2, 7, 6 ]
ans23a	number	-6
ans23b	number	10
ans23c	number	11
ans24a	integer	3
num24a	number	27
ans24b	integer	4
ans24c	integer	-2
num24b	integer	12
num24c	integer	-6
num25	list	[ 2, 4, 3 ]
num25a	integer	2
ans25a	decimal	dec("8")
ans25b	number	-6
ans25c	number	12
ans25d	number	3
num26a	list	[ 3, 2, 4 ]
num26b	list	[ 2, 5, 4, 3 ]
ans26a	number	-16
ans26b	number	2
ans26c	number	-2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(2..4)[0..2]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 3, 2 ]

→ Used by:

ans11
ans11a
ans12
ans13
ans13a
ans14

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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4. Gap Gap 3. Number entry
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5. Gap Gap 4. Number entry
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6. Gap Gap 5. Number entry
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7. Gap Gap 6. Number entry
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8. Gap Gap 7. Number entry
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9. Gap Gap 8. Number entry
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10. Gap Gap 9. Number entry
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11. Gap Gap 10. Number entry
  Add
12. Gap Gap 11. Number entry
  Add
13. Gap Gap 12. Number entry
  Add
14. Gap Gap 13. Number entry
  Add
15. Gap Gap 14. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Write each of the following in its simplest form, without using a calculator:

i) $\var{ans11a}^{\frac{1}{\var{num11[0]}}}$

Gap 0.

ii) $\var{ans12a}^{\frac{\var{num11[1]}}{\var{num12[0]}}}$

Gap 1.

iii) $\var{ans13a}^{\frac{1}{\var{num11[1]}}}$

Gap 2.

iv) $\var{ans14a}^{\frac{\var{num11[0]}}{\var{num12[1]}}}$

Gap 3.

Advice

Part 1

For the first part follow the sixth rule.

Example:

$27^{\frac{2}{3}} = (27^{\frac{1}{3}})^2 = (3)^2 = 9$

Part 2

Using most of the rules above, the following are examples of the questions in part 2 of the question.

$x^3.x^5 = x^8$ (Add the powers)

$\frac{x^{4}.x^{-2}}{x^{13}} = x^{-11}$ (Add the powers above the line and subtract the powers below the line)

$\frac{a^{-2}.b^{3}.c^{4}}{a^{5}.b^{-6}.c^{-4}} = a^{-7}.b^{9}.c^{8}$ (Add the powers, of the same letters, above the line and subtract the powers, of the same letters, below the line)

$(27x^{3}y^{-6})^{\frac{1}{3}} = 3xy^{-2}$ (Use the sixth rule above)

$3a^{-2}b^{3}c)^2 = 9a^{-4}b^{6}c^2$ (Use the sixth rule above)

$\frac{2^{5}.9^{2}.7^{5}}{4^{2}.8^{3}.3^{5}.49^{2}} = 2^{-8}.3^{1}.7^{1}$ (Use the first, second and third rules above)

Give a worked solution to the whole question.

URL

Text alternative

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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This question is used in the following exams:

Indices by Deirdre Casey in Deirdre's workspace.
Apprentices Year 1 Quiz 3 by Aoife O'Brien in Aoife's Exams.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Q1 Indices in their simplest form 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`