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

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7 Questions

Q1.
Simplify:
49^10
49^7
7^10
Correct answer: 7^7
Q2.
Simplify
1/2m^5
m^-5
Correct answer: m^5
m^9
Q3.
Simplify
1^4
5
Correct answer: 6^4
6^5
Q4.
Simplify:
9^-3.5
9^-9
9^5
Correct answer: 9^9
Q5.
Simplify:
343^12
7^12
7^8
Correct answer: 7^9
Q6.
Simplify:
320
Correct answer: 8^10
8^7
80
Q7.
Simplify
14
Correct answer: 5^10
5^14
5^18

7 Questions

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

Lesson appears in

UnitMaths / Indices and standard form