Indices: combinations of rules (non-algebraic)

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Ben Brawn

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From users who are members of pre-algebra Numeracy and Arithmetic :

Ben Brawn

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9 years, 2 months ago

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Ben Brawn 9 years, 2 months ago

Gave some feedback: Ready to use

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Ben Brawn 9 years, 5 months ago

Created this as a copy of Indices: fractional powers (non-algebraic).

Name	Status	Author	Last Modified
Indices: adding powers (non-algebraic)	Ready to use	Ben Brawn	12/02/2025 22:02
Indices: subtracting powers (non-algebraic)	Ready to use	Ben Brawn	12/02/2025 13:40
Indices: negative powers (non-algebraic)	Ready to use	Ben Brawn	21/03/2025 08:38
Indices: multiplying powers (non-algebraic)	Ready to use	Ben Brawn	24/03/2025 03:26
Indices: fractional powers (non-algebraic)	Ready to use	Ben Brawn	21/03/2025 09:12
Indices: combinations of rules (non-algebraic)	Ready to use	Ben Brawn	12/02/2025 02:35
Indices: adding powers (algebraic)	Ready to use	Ben Brawn	21/03/2025 09:19
Indices: negative powers (algebraic)	Ready to use	Ben Brawn	21/03/2025 08:43
Indices: subtracting powers (algebraic)	Ready to use	Ben Brawn	24/03/2025 03:12
Indices: multiplying powers (algebraic)	Ready to use	Ben Brawn	24/03/2025 03:29
Indices: fractional powers (algebraic)	Ready to use	Ben Brawn	24/03/2025 03:32
Indices: combinations of rules (algebraic)	Ready to use	Ben Brawn	21/03/2025 09:31
subtracting powers (algebraic)	draft	steve kilgallon	18/07/2016 13:02
subtracting powers (non-algebraic)	draft	steve kilgallon	18/07/2016 14:41
combinations of rules (non-algebraic)	draft	steve kilgallon	18/07/2016 15:04
combinations of rules (algebraic)	draft	steve kilgallon	18/07/2016 15:05
Francis 's copy of Indices: fractional powers (algebraic)	draft	Francis Duah	12/08/2016 17:50
Mock exam 1 f subtracting powers (algebraic)	draft	steve kilgallon	19/10/2016 16:55
Julie's copy of Mock exam 1 f subtracting powers (algebraic)	draft	Julie Crowley	08/11/2016 16:56
Indices: fractional powers (non-algebraic)	draft	Marlon Arcila	25/07/2017 23:49
Indices: multiplying powers (non-algebraic)	draft	Marlon Arcila	25/07/2017 23:49
Indices: negative powers (non-algebraic)	draft	Marlon Arcila	25/07/2017 23:50
Indices: subtracting powers (non-algebraic)	draft	Marlon Arcila	25/07/2017 23:51
Indices: combinations of rules (algebraic)	draft	Heather Driscoll	26/07/2017 09:55
Katherine's copy of Indices: combinations of rules (algebraic)	draft	Katherine Tomlinson	01/08/2017 12:17
spørsmål 2	draft	Ida Landgärds	02/12/2020 15:42
spørsmål 3	Has some problems	Ida Landgärds	02/12/2020 15:42
Ida's copy of Indices: adding powers (algebraic)	draft	Ida Landgärds	13/04/2018 09:16
spørsmål 2	draft	Ida Landgärds	02/12/2020 15:42
Eva's copy of Indices: subtracting powers (non-algebraic)	draft	Eva Szatmari	12/06/2018 15:51
Eva's copy of Indices: subtracting powers (non-algebraic)	draft	Eva Szatmari	12/06/2018 15:52
kopie van machten	draft	Johan Maertens	22/09/2019 09:00

There are 58 other versions that do you not have access to.

Question statement

Simplify the following without the use of a calculator. Write your answer in index form using ^ to signify powers.

Give any introductory information the student needs.

			Name	Type	Generated Value

primes	list	[ 7, 17, 13 ]
a	integer	7
b	integer	17
c	integer	13
root	integer	2
p	integer	10
n	integer	12
m	integer	8
ans	integer	13

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle([2,3,5,7,11,13,17,19])[0..3]

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`

[ 7, 17, 13 ]

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only

Gap-fill

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

If you would like a challenge, then here is a question for you. Use your index laws rather than your calculator to see how this simplifies:

$\displaystyle \frac{\sqrt[\var{root}]{\var{a}^\var{n}\times\var{b}\times\var{a}^\var{root-n}}}{\var{c}^\var{-m}\times\var{a}\times\var{b}^0\times\var{b}^{1/\var{root}}}\times \left(\frac{\var{a}^\var{p}\times\var{b}}{\var{c}}\right)^\var{m}+\var{ans}(\var{a}^\var{root-n}\times\var{b}^\var{m+root}\times\var{c}^\var{n+m})^0-\frac{\var{a}^\var{p*m-n}\times\var{a}^\var{n}}{\var{b}^\var{-m}}$ = Unnamed gap

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Part	Test	Passed?
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This question is used in the following exams:

Indices (non-algebraic) by Michael Proudman in Temp Store.
Pre-Algebra by Chris Templet in Chris's workspace.
Indices (non-algebraic) by Ben Brawn in pre-algebra Numeracy and Arithmetic.

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Indices: combinations of rules (non-algebraic)

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Taxonomy: mathcentre

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Taxonomy: Context

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Ben Brawn 9 years, 2 months ago

Ben Brawn 9 years, 5 months ago

Error in variable testing condition

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Generated value: `list`

Parts

Gap-fill

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Indices: combinations of rules (non-algebraic)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 9 years, 2 months ago

Ben Brawn 9 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`