Fractional Indices (Part 1)

Fractional Indices (Part 1)

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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.

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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.
Simplify:
An image in a quiz
49^10
49^7
7^10
Correct answer: 7^7
Q2.
Simplify
An image in a quiz
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:
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.
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4 x 4 x 4
4^3
Correct answer: 64^(1/3)
64^(1/4)

Lesson appears in

UnitMaths / Indices and standard form