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# 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 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.
2.
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.
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 square root of 81?
9
8
10
7
The square root of 81 is 9 because 9 x 9 = 81.
5.
What is 90?
9
1
0
81
Any non-zero number raised to the power of 0 equals 1.
6.
What is 52?
10
20
25
15
52 means you multiply 5 by itself for 2 times. So, 5 x 5 = 25.
7.
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
8.
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.
9.
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).
10.
What is the square root of 121?
10
11
12
13
The square root of 121 is 11 because 11 x 11 = 121.
Author:  Graeme Haw

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