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Lesson details

Key learning points

  1. In this lesson, we will continue working with fractional indices and we will investigate fractional index problems and model their solutions,.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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7 Questions

Q1.
Evaluate:
An image in a quiz
Correct answer: 12
288
72
Q2.
Evaluate
An image in a quiz
Correct answer: 1
1/4
4
Q3.
Evaluate:
An image in a quiz
112.5
Correct answer: 15
450
Q4.
Write this in index form:
An image in a quiz
(1/8)^𝑓
𝑓^(1/2)
Correct answer: 𝑓^(1/8)
Q5.
Write this in index form:
An image in a quiz
1/2^𝑝
𝑝^(1)
Correct answer: 𝑝^(1/2)
Q6.
Evaluate:
An image in a quiz
Correct answer: 6
648
72
Q7.
An image in a quiz
4 x 4 x 4
4^3
Correct answer: 64^(1/3)
64^(1/4)

8 Questions

Q1.
Evaluate
An image in a quiz
13.4
21
Correct answer: 343
73.5
Q2.
Evaluate:
An image in a quiz
12.8
Correct answer: 4
5793
6710886
Q3.
Evaluate:
An image in a quiz
1.59
12
2048
Correct answer: 64
Q4.
Evaluate:
An image in a quiz
147
2
Correct answer: 32
53.3
Q5.
Write in index form
An image in a quiz
𝑓^(1/3)
𝑓^(1/6)
Correct answer: 𝑓^(2/3)
𝑓^(3/2)
Q6.
An image in a quiz
64^(1/2)
64^(1/4)
Correct answer: 64^(2/3)
64^(3/2)
Q7.
Write this in index form
An image in a quiz
𝑦^(5/2)
Correct answer: 𝑦^(5/9)
𝑦^(9/5)
Q8.
An image in a quiz
118098
157464
18
Correct answer: 24