 # Practice - Indices and Roots - 02

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 52? 10
20
25
15
52 means you multiply 5 by itself for 2 times. So, 5 x 5 = 25.
2.
What is 4-2? 14
116
-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 (23) x (24)? 64
2
8
128
Applying the power rule of indices, you get 2(3+4) = 27 = 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? 1125
125
15
-15
Negative indices make a number its reciprocal and cube of 5 is 125, so 5-3 is 1 ÷ 53 = 1125
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 90? 9
1
0
81
Any non-zero number raised to the power of 0 equals 1.
10.
What is 34 divided by 32? 9
81
3
6
When you divide with the same base, subtract the indices, so 3(4-2) = 32 = 9.
Author:  Graeme Haw 