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

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1, are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1.

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

Question 1.
Evaluate :
(i) \({ 3 }^{ -2 }\)
(ii) \({ -4 }^{ -2 }\)
(iii) \(({ \frac { 1 }{ 2 } ) }^{ -5 }\)
Solution.
ch 12.1 1
ch 12.1 2

Question 2.
Simplify and express the result in power notation with positive exponent.
ch 12.1 3
Solution.
ch 12.1 4
ch 12.1 5
ch 12.1 6

Question 3.
Fmd the value of:
ch 12.1 7
Solution.
ch 12.1 8
ch 12.1 9
ch 12.1 10
ch 12.1 11

Question 4.
Evaluate
(i) \(\frac { { 8 }^{ -1 }\times { 5 }^{ 3 } }{ { 2 }^{ -4 } } \)
(ii) \(({ 5 }^{ -1 }\times { 2 }^{ -1 })\times { 6 }^{ -1 }\)
Solution.
ch 12.1 12

Question 5.
Find the value of m for which \({ 5 }^{ m }+{ 5 }^{ -3 }={ 5 }^{ 5 }\)
Solution.
ch 12.1 13
ch 12.1 14

Question 6.
Evaluate :
ch 12.1 15
Solution.
ch 12.1 16
ch 12.1 17
ch 12.1 18

Question 7.
Simplify:
(i) \(\frac { 25\times { t }^{ -4 } }{ { 5 }^{ -3 }\times 10\times { t }^{ -8 } } \) (t ≠ 0)
(ii) \(\frac { { 3 }^{ -5 }\times { 10 }^{ -5 }\times 125 }{ { 5 }^{ -7 }\times { 6 }^{ -5 } } \)
Solution.
ch 12.1 19
ch 12.1 20
ch 12.1 21
ch 12.1 22

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