Welcome to the exciting world of Indices and Roots! Don't be alarmed, we're talking about Mathematics, not trees or onions! In the next 10 questions, we'll navigate the remarkable universe of squares, cubes, roots and much more. Don your thinking caps and let's get started!

1.

What is 4 to the power ^{3}⁄_{2}?

2

4

8

16

2.

What is 9^{0.5}?

3

4.5

1

0

The power of half is the same as taking the square root. So, the square root of 9 is 3.

3.

Simplify 3^{5} x 3^{2}

3^{7}

3^{10}

3^{2}

3^{1}

When multiplying with the same base, you add the exponents. Here 5 + 2 equals 7. Hence the answer is 3^{7}.

4.

What is the cubed root of 27?

9

3

81

27

The cubed root of 27 is 3, because 3 x 3 x 3 = 27.

5.

Simplify 2^{4} รท 2^{2}

2^{2}

2^{1}

2^{0}

2^{3}

When dividing with the same base, subtract the exponents: 4 - 2 = 2, hence, the answer is 2^{2}.

6.

What is 5^{0}?

5

1

0

None of the above

Any number raised to the power of 0 equals 1.

7.

What is 2^{5}?

5

10

32

25

2 is multiplied by itself five times (2 x 2 x 2 x 2 x 2) giving 32.

8.

What is the cube root of 2^{7}?

2^{3}

2^{2}

2^{4}

2^{5}

Cube root undoes the cube operation, leaving us with 2^{4}, since 7 - 3 = 4.

9.

What is 10^{3}?

30

300

3

1,000

10 is multiplied by itself 3 times (10 x 10 x 10) and it gives 1,000.

10.

What is the square root of 49?

7

9

70

49

7 x 7 equals 49, so the square root of 49 is 7.

^{3}⁄_{2}means you take the square root of 4 first (which is 2), and then cube it. Hence 2 x 2 x 2 = 8.