MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1

Question 1.
Evaluate
(i) 3-2
(ii) (-4)-2
(iii) \(\)
Solution:
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 1

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Question 2.
Simplify and express the result in power notation with positive exponent.
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 2
Solution:
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 50
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 3
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 4

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Question 3.
Find the value of
(i) (30 + 4-1) × 22
(ii) (2-1 × 4-1) ÷ 2-2
(iii) \(\left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}\)
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 5
Solution:
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 6
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 7

Question 4.
Evaluate
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 9
Solution:
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 10
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 11

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Question 5.
Find the value of m for which 5m ÷ 5-3 = 55.
Solution:
We have, 5m ÷ 5-3 = 55
⇒ 5m-(-3) = 55 [∵ am + an =am + n]
⇒ 5m + 3 = 55
⇒ m + 3 = 5 [∵ am = an ⇒ m = n]
⇒ m = 5 – 3 = 2

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Question 6.
Evaluate
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 12
Solution:
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 13

Question 7.
Simplify.
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 14
Solution:
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 15
MP Board Class 8th Maths Solutions Chapter 12 Exponents and Powers Ex 12.1 16

MP Board Class 8th Maths Solutions