Julie's copy of Q1(b) Indices in their simplest form 1

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Julie Crowley

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Julie Crowley 8 years, 4 months ago

Created this as a copy of Q1(b) Indices in their simplest form 1.

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

There are 4 other versions that do you not have access to.

Question statement

Writing Indices in their simplest form

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	list	[ 4, 3 ]
num12	list	[ 2, 4 ]
ans11a	decimal	dec("256")
ans12a	decimal	dec("16")
ans13a	decimal	dec("27")
ans14a	decimal	dec("16")
ans11	decimal	dec("4")
ans12	decimal	dec("64")
ans13	decimal	dec("2.999999999999996704163133995672736237706")
ans14	decimal	dec("16")
num21	list	[ 5, 3, 4, 2 ]
num22	integer	15
ans21	number	8
ans22	number	-13
num23	list	[ 5, 4, 2, 3, 6, 7 ]
ans23a	number	-8
ans23b	number	10
ans23c	number	9
ans24a	integer	2
num24a	number	8
ans24b	integer	2
ans24c	integer	-4
num24b	integer	6
num24c	integer	-12
num25	list	[ 3, 2, 4 ]
num25a	integer	3
ans25a	decimal	dec("81")
ans25b	number	-12
ans25c	number	8
ans25d	number	4
num26a	list	[ 5, 3, 4 ]
num26b	list	[ 4, 5, 3, 2 ]
ans26a	number	-18
ans26b	number	6
ans26c	number	0

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`

[ 4, 3 ]

→ Used by:

ans11
ans11a
ans12
ans13
ans13a
ans14

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add
6. Gap Gap 5. Number entry
  Add
7. Gap Gap 6. Number entry
  Add
8. Gap Gap 7. Number entry
  Add

Gap-fill

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

Simplify each of the following, without using a calculator. Input the correct power into the relevant box.

$x^{\var{num21[0]}}.x^{\var{num21[1]}}=$ $x$ ^{Gap 0.}

ii)

$\frac{x^{\var{num21[2]}}.x^{-\var{num21[3]}}}{x^{\var{num22}}}$ $=x$ ^{Gap 1.}

iii)

$\frac{a^{-\var{num23[0]}}.b^{\var{num23[1]}}.c^{\var{num23[2]}}}{a^{\var{num23[3]}}.b^{-\var{num23[4]}}.c^{-\var{num23[5]}}}$

$=a$ ^{Gap 2.} $b$ ^{Gap 3.} $c$ ^{Gap 4.}

iv)

$\frac{2^{\var{num26a[0]}}.27^{\var{num26a[1]}}.7^{\var{num26a[2]}}}{4^{\var{num26b[0]}}.8^{\var{num26b[1]}}.3^{\var{num26b[2]}}.49^{\var{num26b[3]}}}$

$2$ ^{Gap 5.} $3$ ^{Gap 6.} $7$ ^{Gap 7.}

Advice

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)

$\frac{2^{5}.9^{2}.7^{5}}{4^{2}.8^{3}.3^{5}.49^{2}} = 2^{-8}.3^{1}.7^{1}$ (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:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Math6000 WS12 Indices by TEAME CIT in MATH6000 Essential Mathematical Skills.
Indices practice by Aoife O'Brien in Aoife's workspace.
Indices by Julie Crowley in Maths Online.
Indices by Catherine Palmer in SPIRIT Maths.
Indices and Scientific Notation by Katie Bullen in Katie's workspace.

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Julie's copy of Q1(b) Indices in their simplest form 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Julie Crowley 8 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

Loading...

Error

Julie's copy of Q1(b) Indices in their simplest form 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Julie Crowley 8 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`