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Chapter 12 Exponents and Powers Exercise 12.1

Question 1.
Evaluate:

Solution:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q1

Question 2.
Simplify and express the result in power notation with a positive exponent.
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q2
Solution:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q2.1

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q2.2

Question 3.
Find the value of
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q3
Solution:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q3.1

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q3.2

Question 4.
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q4
Solution:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q4.1

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:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q6
Solution:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q6.1

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q6.2

Question 7.
Simplify:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q7
Solution:
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q7.1

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-1
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-2
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-3
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-4
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-5
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 q-6
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