[(7/11)³]⁴ = (7/11)⁻⁻⁻. Fill in the blanks to make the statement true

Solution:

Given, [(7/11)³]⁴ = (7/11)⁻⁻⁻

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

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

(a^m)ⁿ = a^mn

Considering [(7/11)³]⁴,

(a^m)ⁿ = [(7/11)³]⁴

Here, a = 7/11

Also, m = 3 and n = 4

Now, mn = 3(4) = 12

a^mn = (7/11)¹²

Therefore, the required value is (7/11)¹².

✦ Try This: [(11/15)¹³]⁴ = (11/15)⁻⁻⁻. 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 27

[(7/11)³]⁴ = (7/11)⁻⁻⁻. Fill in the blanks to make the statement true

Summary:

[(7/11)³]⁴ = (7/11)¹²

☛ Related Questions:

• (6/13)¹⁰ ÷ [(6/13)⁵]² = (6/13)⁻⁻⁻⁻. Fill in the blanks to make the statement true
• [(-1/4)¹⁶]² = (-1/4)⁻⁻⁻. Fill in the blanks to make the statement true
• (13/14)⁵ ÷ (___)² = (13/14)³. Fill in the blanks to make the statement true