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:
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q1

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

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:
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q2
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q2.1

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:
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q3

KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q3.1

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

Question 4.
Evaluate
(i) \(\frac{8^{-1} \times 5^{3}}{2^{-4}}\)
(ii) (5-1 × 2-1) × 6-1
Solution:
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q4

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

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

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:
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q6

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:
KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q7

KSEEB Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Q7.1