RBSE Solutions for Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2

RBSE Solutions for Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2 is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 3 Powers and Exponents Exercise 3.2.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 8
Subject Maths
Chapter Chapter 3
Chapter Name Powers and Exponents
Exercise Exercise 3.2
Number of Questions 4
Category RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2

Question 1.
Find the value
RBSE Solutions for Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2 1
Solution.
(i) (5-1 x 2-1) ÷ 6-1
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RBSE Solutions

Question 2.
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Solution.
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RBSE Solutions for Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2 6
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RBSE Solutions

Question 3.
Find the value of x
(i) \({ \left( \frac { 4 }{ 3 } \right) }^{ -4 }\times { \left( \frac { 4 }{ 3 } \right) }^{ -5 }={ \left( \frac { 4 }{ 3 } \right) }^{ -3x }\)
(ii) 7x ÷ 7-3 = 75
(iii) (4)2x+1 ÷ 16 = 64
Solution.
RBSE Solutions for Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2 11
Comparing the exponents(RBSESolutions.com)of same bases in both sides
– 9 = – 3x
or, x = \(\frac { -9 }{ -3 }\) = 3
(ii) 7x ÷ 7-3 = 75
7x ÷ 7-3 = 75
or, 7x-(-3) = 75
or, 7x+3 = 75
Comparing the exponents of same bases in both sides
∴ x ÷ 3 = 5
or, x = 5 – 3 = 2
(iii) (4)2x+1 ÷ 16 = 64
(4)2x+1 ÷ 16 = 64
or, (4)2x+1 ÷ (4)2 = 64
or, 42x+1-2 = 43
or, 42x-1 = 43
Comparing the exponents(RBSESolutions.com)of same bases in both sides
∴ 2x – 1 = 3
or, 2x = 3 + 1 =4
or, \(x=\frac { 4 }{ 2 }=2\)

RBSE Solutions

Question 4.
Find the value
RBSE Solutions for Class 8 Maths Chapter 3 Powers and Exponents Ex 3.2 12
Solution.
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