Powers and roots using a calculator | Maths | Quizalize & Oak National Academy

Starter quiz

Here is $6^9$ . What does the number 9 represent?

the base

the exponent ✓

the factor

the multiple
Here is $3^5$ . What does this mean?

3 + 3 + 3 + 3 + 3

$3\times3\times3\times3\times3$ ✓

$3\times4$

3 lots of 5
How would you pronounce $5^8$ ?

Five to the power of eight ✓

Five multiplied by eight

Eight to the power of five

Five squared four times
Alex says, " $1^{100}$ is 100 as there is only one 100". Select the statement which explains if Alex is correct or not.

$1^{100}$ is 100 as it means $1\times100$ so Alex is correct

$1^{100}$ is 100 as it means 100 ones added together so Alex is correct

$1^{100}$ is 1 because 1 times by itself 100 times is 1 so Alex is incorrect ✓

$1^{100}$ is 100 because 1 times by itself 100 times is 100 so Alex is correct
Starting with the smallest, put these numbers in ascending order of size.

1

⇔

$1^8$

2

⇔

$2^3$

3

⇔

$3^2$

4

⇔

$12^1$

5

⇔

$5^2$

6

⇔

$10^2$
The square root of the square root of 81 is ______

'3' ✓

__________ means to find the value of a numerical or an algebraic expression.

Solve

Figure out

Evaluate ✓

Square root
Evaluate $\sqrt{64} + 2^3$

40

38

20

16 ✓
Use a calculator to evaluate $39.5^4$ . Write all the digits from your calculator display.

'2 434 380.063' ✓
Use a calculator to evaluate $3.4^3 - 2.1^4$ . Write all the digits from your calculator display.

'19.8559' ✓
Use a calculator to evaluate $\sqrt{76.7376} - 2.3^2$ . Write all the digits from your calculator display.

'3.47' ✓
Use a calculator to evaluate $3.4\times10^3+\sqrt{4738}-6.3^3-9.1^2$ . Write all the digits from your calculator display.

'3135.976132' ✓

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The square root of any number can be found using a calculator but it may not be an integer.
The power button on a calculator can be used to evaluate a number written using exponents.
The 10^x button on a calculator can be used when the base is 10.

Students forget to scroll right to exit the exponent function.

Encourage students to check what they have on their screen matches the calculation exactly.

Evaluate - Evaluate means to find the value of a numerical or an algebraic expression.