1.2.5.3 Rewrite expressions using a single index

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Question statement

Write each of the following expressions with a single index:

Give any introductory information the student needs.

			Name	Type	Generated Value

letter	string	q
a_expr	expression	(q^2)^(-1/4)
a_ans	expression	q^(-1/2)
b_expr	expression	q^(1/4)*q^2
b_ans	expression	q^(9/4)
c_expr	expression	q^4/q^5
c_ans	expression	q^(-1)
indices	list	[ 2, -1/4, 1/4, 2, 4, 5 ]
i_arr	list	List of 8 items
iexp	list	[ 2, -1/4, 1/4, 2, 4, 5 ]
v	expression	q

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(['a','b','c','d','f','g','h','k','m','n','p','q','r','s','t','u','v','w','x','y','z'])

JME function reference

Description

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Generated value: `string`

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Parts

Gap-fill

Gap-fill

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

(a) $\var{a_expr}$ = part a

(b) $\var{b_expr}$ = part b

Advice

(a) Multiply the indices:

$\var{a_expr}=\var{v}^{(\var{iexp[0]})\times(\var{iexp[1]})}=\var{a_ans}$

(b) Add the indices:

$\var{b_expr}=\var{v}^{(\var{iexp[2]})+(\var{iexp[3]})}=\var{b_ans}$

$\var{c_expr}=\var{v}^{(\var{iexp[4]})-(\var{iexp[5]})}=\var{c_ans}$

Note: if the final index is negative, you can also write the answer as a fraction with a positive index on the denominator.

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Part	Test	Passed?
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Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

HELM Book 1.2 Mastery by Merryn Horrocks in HELM books.
HELM Book 1.2 Diagnostic by Merryn Horrocks in HELM books.
HELM Book 1.2 Indices by Merryn Horrocks in HELM books.
HELM Book 1.2.5 exercises by Merryn Horrocks in HELM books.

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1.2.5.3 Rewrite expressions using a single index

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Taxonomy: mathcentre

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Merryn Horrocks 1 year, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Error in variable testing condition

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Generated value: `string`

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1.2.5.3 Rewrite expressions using a single index

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 1 year, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`