Practice - Indices and Roots - 03
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
The power of 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.
2.
What is 90.5?
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 35 x 32
37
310
32
31
When multiplying with the same base, you add the exponents. Here 5 + 2 equals 7. Hence the answer is 37.
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 24 รท 22
22
21
20
23
When dividing with the same base, subtract the exponents: 4 - 2 = 2, hence, the answer is 22.
6.
What is 50?
5
1
0
None of the above
Any number raised to the power of 0 equals 1.
7.
What is 25?
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 27?
23
22
24
25
Cube root undoes the cube operation, leaving us with 24, since 7 - 3 = 4.
9.
What is 103?
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.
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