Higher
Manipulating powers
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Lesson details
Key learning points
- In this lesson, we will learn how to manipulate powers to change bases. We will learn how to identify when this is and is not possible.
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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4 Questions
Q1.
Simplify the following numerical expression
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a
c
d
Q2.
Write the following numerical expression as a single power of 7
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a
c
d
Q3.
Simplify the following numerical expression
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169700%2Ft2uuop2ribzouxqznflc.png&w=1080&q=75)
a
c
d
Q4.
What is the value of 'm' in the following algebraic expression?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169703%2Fcqvggduzmyjnidgmh3dt.png&w=640&q=75)
16
3
5
4 Questions
Q1.
Write 16 as a single power of 2
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a
b
c
Q2.
Write 27 as a single power of 3
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707209744%2Fyoah3mbjt5jbrvnygbxi.png&w=256&q=75)
a
c
Q3.
Write 8 x 4 as a single power of 2
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a
b
c
Q4.
Simplify the following numerical expression, giving your answer as a single power of 2
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707209756%2Fshuxo4ey20fmge3qouri.png&w=828&q=75)
a
b
d