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.

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.

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.

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

Video

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Worksheet

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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.

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.

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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