Maths

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To the power of n

In this lesson, we will learn about 'to the power of n'. We will invesigate patterns of exponential growth as the value of n increases for any given base.

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If an investment of $500.00 increases by 13% per year for 6 years, the amount it would be at the end of the 6 years would be...

1/5

Q2.£100.00 decreases by 5% in one year, followed by an increase of 5% in the next year, and then decreases again by 2% for 8 years. What would the final amount be?

2/5

Q3.If a teddy bear depreciates from £3.00 by 18% per year for 5 years, what is the final value of the teddy bear?

3/5

Q4.In order to decrease an amount by 19% for 2 years, I would need to multiply the amount by 0.19^2

4/5

Q5.In order to increase an amount by 7.5% for 3 years, I would need to multiply the amount by 1.075^3

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If an investment of $500.00 increases by 13% per year for 6 years, the amount it would be at the end of the 6 years would be...

1/5

Q2.£100.00 decreases by 5% in one year, followed by an increase of 5% in the next year, and then decreases again by 2% for 8 years. What would the final amount be?

2/5

Q3.If a teddy bear depreciates from £3.00 by 18% per year for 5 years, what is the final value of the teddy bear?

3/5

Q4.In order to decrease an amount by 19% for 2 years, I would need to multiply the amount by 0.19^2

4/5

Q5.In order to increase an amount by 7.5% for 3 years, I would need to multiply the amount by 1.075^3

5/5

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

To the power of n

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.If y = 2^n, what is the value of y when n = 5?

1/5

Q2.If y = 5^n, what is the value of y when n = -3?

2/5

Q3.You are given that 6^a < 220 < 6^b and that 'a' and 'b' are consecutive integers. What are the values of 'a' and 'b'?

3/5

Q4.y = 9^x would cut the y-axis at the coordinate...

4/5

Q5.y = 2x is an example of an exponential.

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

To the power of n

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.If y = 2^n, what is the value of y when n = 5?

1/5

Q2.If y = 5^n, what is the value of y when n = -3?

2/5

Q3.You are given that 6^a < 220 < 6^b and that 'a' and 'b' are consecutive integers. What are the values of 'a' and 'b'?

3/5

Q4.y = 9^x would cut the y-axis at the coordinate...

4/5

Q5.y = 2x is an example of an exponential.

5/5

Lesson summary: To the power of n

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The next lesson in:
Growth and decay
is:
Exponential growth

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