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Lesson details

Key learning points

  1. In this lesson, we will begin to work with fractional indices and learn how to evaluate calculations with fractional indices.

Licence

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.
Simplify:
An image in a quiz
49^10
49^7
7^10
Correct answer: 7^7
Q2.
Simplify
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1/2m^5
m^-5
Correct answer: m^5
m^9
Q3.
Simplify
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1^4
5
Correct answer: 6^4
6^5
Q4.
Simplify:
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9^-3.5
9^-9
9^5
Correct answer: 9^9
Q5.
Simplify:
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343^12
7^12
7^8
Correct answer: 7^9
Q6.
Simplify:
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320
Correct answer: 8^10
8^7
80
Q7.
Simplify
An image in a quiz
14
Correct answer: 5^10
5^14
5^18

7 Questions

Q1.
Evaluate:
An image in a quiz
Correct answer: 12
288
72
Q2.
Evaluate
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Correct answer: 1
1/4
4
Q3.
Evaluate:
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112.5
Correct answer: 15
450
Q4.
Write this in index form:
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(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.
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4 x 4 x 4
4^3
Correct answer: 64^(1/3)
64^(1/4)