# 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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