(13/14)⁵ ÷ (___)² = (13/14)³. Fill in the blanks to make the statement true

Solution:

Given, (13/14)⁵ ÷ (___)² = (13/14)³.

We have to fill in the blanks to make the statement true.

Let (___)² be x²

So, (13/14)⁵ ÷ x² = (13/14)³

On rearranging,

x² = (13/14)⁵ / (13/14)³

x² = (13/14)⁵ × (13/14)⁻³

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

a^m × aⁿ = a^m+n

x² = (13/14)⁵⁺⁽⁻³⁾

= (13/14)⁵⁻³

= (13/14)²

Now, x² = (13/14)²

Therefore, x = 13/14

✦ Try This: (1/4)⁵ ÷ (___)² = (1/4)³. Fill in the blanks to make the statement true

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 30

(13/14)⁵ ÷ (___)² = (13/14)³. Fill in the blanks to make the statement true

Summary:

(13/14)⁵ ÷ (13/14)² = (13/14)³

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