## 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) (3^{0} + 4^{-1}) × 2^{2}

(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} = 5^{5}.

Solution:

We have, 5^{m} ÷ 5^{-3} = 5^{5}

⇒ 5^{m-(-3)} = 5^{5} [∵ a^{m} + a^{n} =a^{m + n}]

⇒ 5^{m + 3} = 5^{5}

⇒ m + 3 = 5 [∵ a^{m} = a^{n} ⇒ m = n]

⇒ m = 5 – 3 = 2

Question 6.

Evaluate

Solution:

Question 7.

Simplify.

Solution: