(7/3)² × (7/3)⁵ = (7/3)¹⁰. State whether the given statement is true or false

Solution:

Given, (7/3)² × (7/3)⁵ = (7/3)¹⁰

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

LHS: Considering (7/3)² × (7/3)⁵,

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

a^m × aⁿ = a^m+n

Here, a = 7/3, m = 2 and n = 5

m + n = 2 + 5 = 7

a^m+n = (7/3)⁷

RHS = (7/3)¹⁰

LHS ≠ RHS

So, (7/3)² × (7/3)⁵ ≠ (7/3)¹⁰

Therefore, the given statement is false.

✦ Try This: (2/3)² × (2/3)⁶ = (2/3)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 59

(7/3)² × (7/3)⁵ = (7/3)¹⁰. State whether the given statement is true or false

Summary:

The given statement,”(7/3)² × (7/3)⁵ = (7/3)¹⁰” is false

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