Algebra IV: Properties of indices (3) - Negative integers/fractions

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Sarah Turner

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Sarah Turner	said	Ready to use	8 years, 7 months ago
John Hodkinson	said	Has some problems	8 years, 7 months ago

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Sarah Turner 8 years, 7 months ago

Gave some feedback: Ready to use

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Sarah Turner 8 years, 7 months ago

Gave some feedback: Needs to be tested

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John Hodkinson 8 years, 7 months ago

Gave some feedback: Has some problems

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Sarah Turner 8 years, 7 months ago

Gave some feedback: Needs to be tested

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Sarah Turner 8 years, 7 months ago

Created this as a copy of Indices 2.

Name	Status	Author	Last Modified
Indices 1	Ready to use	joshua boddy	01/06/2016 09:47
Indices 2	Ready to use	joshua boddy	01/06/2016 09:47
Numerical Skills Indices 1 - Formative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Indices 2 - Formative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Indices 1 - Summative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Indices 2 - Formative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Indices 2 - Summative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Algebra IV: Properties of indices (2) - Fractions	Ready to use	Sarah Turner	05/08/2016 14:06
Algebra IV: Properties of indices (3) - Negative integers/fractions	Ready to use	Sarah Turner	07/08/2016 10:38
Algebra IV: Properties of indices (3) - Negative integers/fractions	Ready to use	Nasir Firoz Khan	12/08/2016 16:11
Algebra IV: Properties of indices (2) - Fractions	Ready to use	Nasir Firoz Khan	12/08/2016 16:10
Jinhua's copy of Indices 1	draft	Jinhua Mathias	28/08/2024 12:15
Jinhua's copy of Indices 2	draft	Jinhua Mathias	28/08/2024 12:15
Simon's copy of Algebra IV: Properties of indices (2) - Fractions	draft	Simon Thomas	04/03/2019 12:34
Maria's copy of Algebra IV: Properties of indices (2) - Fractions	draft	Maria Aneiros	30/05/2019 04:05

There are 6 other versions that do you not have access to.

Question statement

Simplify the following questions, giving your answer in its simplest form (as a fraction - unless asked otherwise).

Recall:

$x^{\simplify{-a/b}}$ = $\frac{1}{(\sqrt[b]{x})^{a}}$
$x^{-a} = \frac{1}{x^{a}}$

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Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
b	integer	3
c	number	8
d	number	81
f	integer	4
g	integer	3
h	number	27
j	integer	2
k	integer	5
l	number	4
f1	integer	3
f2	integer	4
f3	number	625
f4	number	125
t1	number	16
t2	number	81
sar	integer	5
sar2	integer	16
sar3	integer	4
sar4	integer	19

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Generated value: `integer`

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"Part b)" - prompt

Advice

Recall the laws of indices to help solve the problems:

$x^a \times x^b = x^{a+b}$
$x^a \div x^b = x^{a-b}$
$x^{-a} = \frac{1}{x^a}$
$(x^a)^b = x^{ab}$
$(\frac{x}{y})^a = \frac{x^a}{y^a}$
$x^0 = 1$
$x^\frac{a}{b} = (\sqrt[b]{x})^{a}$
$x^{\simplify{-a/b}}$ = $\frac{1}{(\sqrt[b]{x})^{a}}$
$x^{-a} = \frac{1}{x^{a}}$

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Algebra IV: Properties of indices (3) - Negative integers/fractions

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Taxonomy: mathcentre

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Taxonomy: Context

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Sarah Turner 8 years, 7 months ago

Sarah Turner 8 years, 7 months ago

John Hodkinson 8 years, 7 months ago

Sarah Turner 8 years, 7 months ago

Sarah Turner 8 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Algebra IV: Properties of indices (3) - Negative integers/fractions

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Sarah Turner 8 years, 7 months ago

Sarah Turner 8 years, 7 months ago

John Hodkinson 8 years, 7 months ago

Sarah Turner 8 years, 7 months ago

Sarah Turner 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`