(5/8)⁹ ÷ (5/8)⁴ = (5/8)⁴. State whether the given statement is true or false

Solution:

Given, (5/8)⁹ ÷ (5/8)⁴ = (5/8)⁴.

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

LHS: Considering (5/8)⁹ ÷ (5/8)⁴,

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

a^m ÷ aⁿ = a^m-n

Here, a = 5/8, m = 9 and n = 4

m - n = 9 - 4 = 5

a^m-n = (5/8)⁵

RHS = (5/8)⁴

LHS ≠ RHS

So, (5/8)⁹ ÷ (5/8)⁴ ≠ (5/8)⁴

Therefore, the given statement is false.

✦ Try This: (7/9)⁷ ÷ (7/9)⁴ = (7/9)¹⁰. 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 58

(5/8)⁹ ÷ (5/8)⁴ = (5/8)⁴. State whether the given statement is true or false

Summary:

The given statement,”(5/8)⁹ ÷ (5/8)⁴ = (5/8)⁴” is false

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