Chapter 12 Exponents and Powers Exercise 12.1
Question 1.
Evaluate:
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-191.png)
Solution:
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q1](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon.png)
Question 2.
Simplify and express the result in power notation with a positive exponent.
Solution:
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q2.2](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-3.png)
Question 3.
Find the value of
Solution:
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q3.2](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-6.png)
Question 4.
Solution:
Question 5.
Find the value of m for which 5m ÷ 5-3 = 55.
Solution:
5m ÷ 5-3 = 55
⇒ 5m-(-3) = 55 [∵ am ÷ an = am-n]
⇒ 5m+3 = 55
Comparing the powers of equal bases, we have
m + 3 = 5
m = 5 – 3 = 2, i.e., m = 2
Ex 12.1 Class 8 Maths Question 6.
Evaluate:
Solution:
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q6.2](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-11.png)
Question 7.
Simplify:
Solution:
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-1](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-17.png)
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-2](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-19.png)
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-3](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-22.png)
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-4](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-25.png)
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-5](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-27.png)
![NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-6](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-chapter-12-expon-29.png)