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

Solution.
(i) (5^-1 x 2^-1) ÷ 6^-1

Question 2.

Solution.

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) 7^x ÷ 7^-3 = 7⁵
(iii) (4)^2x+1 ÷ 16 = 64
Solution.

Comparing the exponents(RBSESolutions.com)of same bases in both sides
– 9 = – 3x
or, x = \(\frac { -9 }{ -3 }\) = 3
(ii) 7^x ÷ 7^-3 = 7⁵
7^x ÷ 7^-3 = 7⁵
or, 7^x-(-3) = 7⁵
or, 7^x+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, 4^2x+1-2 = 4³
or, 4^2x-1 = 4³
Comparing the exponents(RBSESolutions.com)of same bases in both sides
∴ 2x – 1 = 3
or, 2x = 3 + 1 =4
or, \(x=\frac { 4 }{ 2 }=2\)

Question 4.
Find the value

Solution.

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