Powers & Roots MCQ Test — Class 8 IB MYP

Solution:

To find \(3^2\), multiply 3 by itself. — 3^2 = 3 \times 3 = 9

Solution:

We need a number that when multiplied by itself gives 49. — 7 \times 7 = 49, \text{ so } \sqrt{49} = 7

Solution:

Calculate step by step. — 2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32

Solution:

We need to find the number whose square is 144. — 12 \times 12 = 144, \text{ so } \sqrt{144} = 12

Solution:

Calculate the cube of 10. — 10^3 = 10 \times 10 \times 10 = 1000

Solution:

The cube root of 8 is the number that when cubed gives 8. — 2^3 = 8, \text{ so } \sqrt[3]{8} = 2

Solution:

By the identity property of exponents, any number raised to 1 is the number itself. — 5^1 = 5

Solution:

By the zero exponent rule, any non-zero number raised to 0 is 1. — 4^0 = 1

Solution:

Since \(5 \times 5 = 25\), the square root of 25 is 5. — \sqrt{25} = 5

Solution:

Find the number whose cube is 27. — 3^3 = 27, \text{ so } \sqrt[3]{27} = 3