Mathematics is a subject that builds on previous concepts, and understanding the basics of exponents and powers is crucial for students as they progress to more advanced topics. Class 8 Math Ch12 Exponents and Power Ex 12.1-NCERT introduces students to the fundamental concept of exponents, a mathematical notation used to represent repeated multiplication of the same number. This chapter lays the groundwork for students to better understand powers of numbers and apply them in various mathematical and real-world problems.
Class 8 Math Ch12 Exponents and Power Ex 12.1-NCERT
Ex 12.1 Class 8 Maths Question 1.
Evaluate:
(i) 3-2
(ii) (-4)-2
(iii) (12)-5
Solution:
Ex 12.1 Class 8 Maths Question 2.
Simplify and express the result in power notation with a positive exponent.
Solution:
Ex 12.1 Class 8 Maths Question 3.
Find the value of
Solution:
Ex 12.1 Class 8 Maths Question 4.
Solution:
Ex 12.1 Class 8 Maths 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:
Ex 12.1 Class 8 Maths Question 7.
Simplify:
Solution:
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