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Lesson details
Key learning points
- 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.
7 Questions
Q1.
Simplify:

49^10
49^7
7^10
Q2.
Simplify

1/2m^5
m^-5
m^9
Q3.
Simplify

1^4
5
6^5
Q4.
Simplify:

9^-3.5
9^-9
9^5
Q5.
Simplify:

343^12
7^12
7^8
Q6.
Simplify:

320
8^7
80
Q7.
Simplify

14
5^14
5^18
7 Questions
Q1.
Evaluate:

288
72
Q2.
Evaluate

1/4
4
Q3.
Evaluate:

112.5
450
Q4.
Write this in index form:

(1/8)^𝑓
𝑓^(1/2)
Q5.
Write this in index form:

1/2^𝑝
𝑝^(1)
Q6.
Evaluate:

648
72
Q7.

4 x 4 x 4
4^3
64^(1/4)