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Simplify: (4/13)⁴ × (13/7)² × (7/4)³.

Solution:

Given, the expression is (4/13)⁴ × (13/7)² × (7/4)³.

We have to simplify the expression.

(4/13)⁴ × (13/7)² = 4/13 × 4/13 × 4/13 × 4/13 × 13/7 × 13/7

= 4/13 × 4/13 × 4 × 4 × 1/7 × 1/7

(4/13)⁴ × (13/7)² × (7/4)³ = 4/13 × 4/13 × 4 × 4 × 1/7 × 1/7 × 7/4 × 7/4 × 7/4

= 4/13 × 4/13 × 4/7 × 4/7 × 7/4 × 7/4 × 7/4

= 4/13 × 4/13 × 7/4

= 4/13 × 7/13

= 28/169

Therefore, the simplified value is 28/169.

✦ Try This: Simplify: (2/3)⁴ × (3/5)² × (5/2)³.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 180(3)

Simplify: (4/13)⁴ × (13/7)² × (7/4)³

Summary:

The simplified value of (4/13)⁴ × (13/7)² × (7/4)³ is 28/169 using the multiplication operation

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