(2/5)³ ÷ (5/2)³ = 1. State whether the given statement is true or false

Solution:

Given, (2/5)³ ÷ (5/2)³ = 1

We have to determine if the given statement is true or false.

(2/5)³ ÷ (5/2)³ = (2/5)³ / (5/2)³

So, (2/5)³ / (5/2)³ = 1

(2/5)³ × (2/5)³ = 1

LHS : Considering (2/5)³ × (2/5)³

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

Here, a = 2/5

Also, m = 3 and n = 3

m + n = 3 + 3 = 6

(2/5)³ × (2/5)³ = (2/5)⁶

RHS = 1

LHS ≠ RHS

Therefore, (2/5)³ ÷ (5/2)³ ≠ 1

✦ Try This: (4/5)² ÷ (5/4)³ = 1. State whether the given statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 56

(2/5)³ ÷ (5/2)³ = 1. State whether the given statement is true or false

Summary:

The given statement,”(2/5)³ ÷ (5/2)³ = 1” is false.

☛ Related Questions:

• (4/3)⁵ × (5/7)⁵ = [(4/3) + (5/7)]⁵. State whether the given statement is true or false
• (5/8)⁹ ÷ (5/8)⁴ = (5/8)⁴. State whether the given statement is true or false
• (7/3)² × (7/3)⁵ = (7/3)¹⁰. State whether the given statement is true or false