Ready to put your numbers and notations to the test? It's time to dive into the world of mathematical indices and roots. It might sound a bit intimidating, but here's the fun part: these are fundamental concepts that you'll use in your maths journey. So, armed with your mathematical bravery, take this 10-question quiz and prove that you can conquer any number, no matter how big, small, negative, or fractional it is!

1.

What is 5^{2}?

10

20

25

15

2.

What is 4^{-2}?

-8

16

Negative indices make a number its reciprocal, so 4^{-2} is 1 ÷ 4 ÷ 4 (2 divisions because the exponent is -2, and divided by 4 because the integer is 4).

3.

What is (2^{3}) x (2^{4})?

64

2

8

128

Applying the power rule of indices, you get 2^{(3+4)} = 2^{7} = 128.

4.

What is the cube root of 8?

4

2

3

5

The cube root of 8 is 2 because 2 x 2 x 2 = 8.

5.

What is the square root of 121?

10

11

12

13

The square root of 121 is 11 because 11 x 11 = 121.

6.

What is 5^{-3}?

125

15

-15

Negative indices make a number its reciprocal and cube of 5 is 125, so 5^{-3} is 1 ÷ 5^{3} = ^{1}⁄_{125}

7.

What is the square root of 81?

9

8

10

7

The square root of 81 is 9 because 9 x 9 = 81.

8.

What does an index of 0 do to any number?

Makes it 0

Makes it 1

Doubles it

Halves it

Any number to the power of 0 equals 1, not 0.

9.

What is 9^{0}?

9

1

0

81

Any non-zero number raised to the power of 0 equals 1.

10.

What is 3^{4} divided by 3^{2}?

9

81

3

6

When you divide with the same base, subtract the indices, so 3^{(4-2)} = 3^{2} = 9.

^{2}means you multiply 5 by itself for 2 times. So, 5 x 5 = 25.