NCERT Class 7th Mathematics Solutions – Chapter 13 – Exponents and Powers – Exercise – 13.1
1. Find the value of:
(i) 2^6 (ii) 9^3 (iii) 11^2 (iv) 5^4
2. Express the following in exponential form:
(i) 6 × 6 × 6 × 6 (ii) t × t (iii) b × b × b × b
(iv) 5 × 5× 7 × 7 × 7 (v) 2 × 2 × a × a (vi) a × a × a × c × c × c × c × d
3. Express each of the following numbers using exponential notation:
(i) 512 (ii) 343 (iii) 729 (iv) 3125
4. Identify the greater number, wherever possible, in each of the following?
(i) 4^3 or 3^4 (ii) 5^3 or 3^5 (iii) 2^8 or 8^ (iv) 100^2 or 2^100 (v) 2^10 or 10^2
5. Express each of the following as product of powers of their prime factors:
(i) 648 (ii) 405 (iii) 540 (iv) 3,600
6. Simplify:
(i) 2 × 10^3 (ii) 7^2× 2^2 (iii) 2^3× 5 (iv) 3 × 4^4 (v) 0 × 10^2 (vi) 5^2 × 3^3 (vii) 2^4 × 3^2 (viii) 3^2 × 10^4
7. Simplify:
(i) (– 4)^3 (ii) (–3) × (–2)^3 (iii) (–3)^2 × (–5)^2 (iv) (–2)^3 × (–10)^3
8. Compare the following numbers:
(i) 2.7 × 10^12 ; 1.5 × 10^8 (ii) 4 × 10^14 ; 3 × 10^17
You can find the solutions for previous exercise from here
- Chapter 12 -Algebraic Expressions – Exercise – 12.4
- Algebraic Expressions – Exercise – 12.3
- Chapter 12 -Algebraic Expressions – Exercise – 12.2
- Algebraic Expressions – Exercise – 12.1
- Perimeter and Area – Exercise – 11.4
- Chapter 11 – Perimeter and Area – Exercise – 11.3
- Perimeter and Area – Exercise – 11.2
- Chapter 11 – Perimeter and Area – Exercise – 11.1
- Chapter 10 – Practical Geometry – Exercise -10.5
- Practical Geometry – Exercise -10.4
- Chapter 10 – Practical Geometry – Exercise -10.3
- Practical Geometry – Exercise -10.2
- Chapter 10 – Practical Geometry – Exercise -10.1
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