Laws of indices
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Lesson details
Key learning points
- In this lesson, we will investigate some of the laws of indices and how they are derived. We will look specifically at multiplying and dividing numbers with the same base.
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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5 Questions
Q1.
Answer the question below:
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1
5
6
Q2.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156608%2Fkqqh5rqeeldix6kf3kem.png&w=750&q=75)
10
16
2
Q3.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156642%2Fltb8rzrbwmjuj1nr1prw.png&w=750&q=75)
12
27
3
Q4.
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1
1000000
5
Q5.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156610%2Fqn3lkdlf1ge4y07b5kfq.png&w=750&q=75)
2
6
8
7 Questions
Q1.
Simplify:
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49^10
49^7
7^10
Q2.
Simplify
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1/2m^5
m^-5
m^9
Q3.
Simplify
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1^4
5
6^5
Q4.
Simplify:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207362%2Fvjb48rusk9ndalhbwycw.png&w=750&q=75)
9^-3.5
9^-9
9^5
Q5.
Simplify:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207367%2Fvcsnpcudjleybl5j2kit.png&w=750&q=75)
343^12
7^12
7^8
Q6.
Simplify:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207305%2Fqqszjeqmpqb7fooeg6re.png&w=750&q=75)
320
8^7
80
Q7.
Simplify
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207308%2Fagwnaxckblnmb4rrldib.png&w=750&q=75)
14
5^14
5^18