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) \(\)
Solution:

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

Solution:

Question 3.
Find the value of
(i) (3⁰ + 4^-1) × 2²
(ii) (2^-1 × 4^-1) ÷ 2^-2
(iii) \(\left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}\)

Solution:

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