(4/3)⁵ × (5/7)⁵ = [(4/3) + (5/7)]⁵. State whether the given statement is true or false

Solution:

Given, (4/3)⁵ × (5/7)⁵ = [(4/3) + (5/7)]⁵

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

LHS : Considering (4/3)⁵ × (5/7)⁵,

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

a^m × b^m = (a×b)^m

Here, a = 4/3, b = 5/7 and m = 5

(a×b)^m = [(4/3) × (5/7)]⁵

= RHS

LHS = RHS

So, (4/3)⁵ × (5/7)⁵ = [(4/3) + (5/7)]⁵

Therefore, the given statement is true.

✦ Try This: (5/7)⁴ × (3/4)⁴ = [(5/7) + (3/4)]⁴. 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 57

(4/3)⁵ × (5/7)⁵ = [(4/3) + (5/7)]⁵. State whether the given statement is true or false

Summary:

The given statement,”(4/3)⁵ × (5/7)⁵ = [(4/3) + (5/7)]⁵” is true

☛ Related Questions:

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• 5⁰ × 25⁰ × 125⁰ = (5⁰)⁶. State whether the given statement is true or false