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

You can Download KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Questions and Answers helps you to revise the complete syllabus.

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

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

Question 2.
Simplify and express the result in power notation with a positive exponent.
(i) (-4)⁵ ÷ (-4)⁸
(ii) \(\left(\frac{1}{2^{3}}\right)^{2}\)
(iii) \((-3)^{4} \times\left(\frac{5}{3}\right)^{4}\)
(iv) (3^-7 + 3^-10) × 3^-5
(v) 2^-3 × (-7)^-3
Solution:

Question 3.
Find the value of:
(i) (3⁰ + 4^-1) × 2²
(ii) (2^-1 × 4^-1) ÷ 2^-2
(iii) \(\left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}\)
(iv) (3^-1 + 4^-1 + 5^-1)⁰
(v) \(\left\{\left(\frac{-2}{3}\right)^{-2}\right\}^{2}\)
Solution:

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

Question 5.
Find the value of m for which 5^m ÷ 5^-3 = 5⁵.
Solution:
5^m ÷ 5^-3 = 5⁵.
5^m-(-3) = 5⁵.
5^m+3 = 5⁵.
m + 3 = 5
m = 5 – 3
m = 2

Question 6.
(i) \(\left\{\left(\frac{1}{3}\right)^{-1}-\left(\frac{1}{4}\right)^{-1}\right\}^{-1}\)
(ii) \(\left(\frac{5}{8}\right)^{-7} \times\left(\frac{8}{5}\right)^{-4}\)
Solution:

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: