Which of the following is not the reciprocal of (2/3)⁴ ?
(a) (3/2)⁴
(b) (3/2)⁻⁴
(c) (2/3)⁻⁴
(d) 3⁴/2⁴
Solution:
We have to determine which of the given option is not the reciprocal of (2/3)⁴.
The reciprocal of a number is defined as the expression which when multiplied by the number gives the product as 1.
Reciprocal of a = 1/a
From the given expression,
a = 2/3
1/a = 3/2
Now, (2/3)⁴ = 1/(2/3)-4
= (3/2)-4
Option a is correct as it is re expressing the number with positive component
Option b is the correct answer
Option c is not the reciprocal
Option d is obtained by working out the exponent
Therefore, (2/3)⁻⁴ is not the reciprocal of (2/3)⁴.
✦ Try This: Cube of -1/4 is
We have to find the cube of the given number.
Cube of -1/4 = (-1/4)³
= -1/4 × -1/4 × -1/4
= 1/16 × -1/4
= -1/64
Therefore, the cube of the number is -1/64.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 33
Which of the following is not the reciprocal of (2/3)⁴ ? (a) (3/2)⁴, (b) (3/2)⁻⁴, (c) (2/3)⁻⁴, (d) 3⁴/2⁴
Summary:
The reciprocal of a number is defined as the expression which when multiplied by the number gives the product as 1. (2/3)⁻⁴ is not the reciprocal of (2/3)⁴.
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