Power notation | Maths | Quizalize & Oak National Academy

Starter quiz

Which word best goes in the gaps? The __________ root of the perfect __________ is the integer that has been multiplied by itself and then itself again to give that perfect __________ number.

square

cube ✓

array

product
Complete the calculation: $\sqrt{144} =$ ______

'12' ✓
Work out $\sqrt[3]{1000}$

1

10 ✓

100

500
Starting with smallest, put these roots in order of size.

1

⇔

$\sqrt{1}$

2

⇔

$\sqrt[3]{64}$

3

⇔

$\sqrt[3]{125}$

4

⇔

$\sqrt{49}$

5

⇔

$\sqrt{64}$

6

⇔

$\sqrt{169}$
Find the closest integer to $\sqrt{30}$

4

5 ✓

6

7
Find the closest integer to $\sqrt[3]{1100}$

9

10 ✓

11

12

13

Here is $4^5$ . What does this mean?

$4 + 4 + 4 + 4 + 4$

$4\times4\times4\times4\times4$ ✓

$4\times5$

4 lots of 5
Here is $2^3$ . What does the number 2 represent?

the base ✓

the exponent

the factor

the multiple

the power
Use exponents to simplify: $2\times2\times2\times2\times2\times2\times2\times2\times2\times2$

$2\times10$

$2^{10}$ ✓

$10\times2$

$10^2$
Match each calculation with how it should be said out loud.

$5^2\times8^3$

⇔

Five squared multiplied by eight cubed ✓

$6^2\times11^5$

⇔

Six squared multiplied by eleven to the power of five ✓

$5^2\times3^8$

⇔

Five squared multiplied by three to the power of eight ✓

$6^2\times5^{11}$

⇔

Six squared multiplied by five to the power of eleven ✓

$5^3\times8^3$

⇔

Five cubed multiplied by eight cubed ✓
Match each calculation written using exponents with its equivalent calculation.

$2^3\times3^4$

⇔

$2\times2\times2\times3\times3\times3\times3$ ✓

$2^4\times3^2$

⇔

$2\times2\times2\times2\times3\times3$ ✓

$3^2\times4^4$

⇔

$3\times3\times4\times4\times4\times4$ ✓

$3^2\times4^3$

⇔

$3\times3\times4\times4\times4$ ✓
Starting with the smallest, put these numbers in ascending order of size.

1

⇔

$1^{10}$

2

⇔

$2^3$

3

⇔

$10^1$

4

⇔

$4^2$

5

⇔

$5^2$

6

⇔

$10^2$

7

⇔

$5^3$

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There is special notation for squares and cubes and each part can be named.
Repeated multiplication of the same number can be written using integer exponents.
Numbers written with positive integer exponents can be expressed as products of the base.
Products that include repeated multiplication of different base numbers may be simplified using exponents.

When different bases are used student multiply the bases. e.g. 2 x 5^2 = 10^2

Calculate and compare the 2, 2 x 5^2 = 50 & 10^2 = 100

Base - The base is the number or term that has been multiplied by itself.
Exponent - An integer exponent identifies how many times the base number has been multiplied by itself.