iGCSE Mathematics (0580) - C1.3 Powers and roots- Exam Style Questions Paper 1- New Syllabus
▶️ Answer/Explanation
(a)
We need a number that multiplies by itself to give 144. Since \(12 \times 12 = 144\), we have \(\sqrt{144} = 12\).
✅ Answer: \(12\)
(b)
\(5^3\) means \(5 \times 5 \times 5\). Working step by step: \(5 \times 5 = 25\), then \(25 \times 5 = 125\).
✅ Answer: \(125\)
▶️ Answer/Explanation
(a) The square root of $36$ asks us to find a positive number that multiplies by itself to make $36$. Since $6 \times 6 = 36$, the value is $6$.
(b) For $10^3$, the exponent tells us to multiply $10$ by itself a total of three times: $10 \times 10 \times 10$. This evaluates easily to $1000$.
✅ Answer: (a) 6 (b) 1000
(b) For $10^3$, the exponent tells us to multiply $10$ by itself a total of three times: $10 \times 10 \times 10$. This evaluates easily to $1000$.
✅ Answer: (a) 6 (b) 1000
