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

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

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

Question 1.
Evaluate
(i) 3^-2
(ii) (-4)^-2
(iii) (1/2)-5
Solution:

Question 2.
Simplify and express the result in power notation with positive exponent.

Solution:

Question 3.
Find the value of

Question 4.
Evaluate

Solution:

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

Question 6.
Evaluate

Solution:

Question 7.
Simplify.

Solution:

MP Board Class 8th Maths Solutions