(11/15)⁴ × (___)⁵ = (11/15)⁹. Fill in the blanks to make the statement true.

Solution:

Given, (11/15)⁴ × (___)⁵ = (11/15)⁹

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

Let (___)⁵ be x⁵

So, (11/15)⁴ × x⁵ = (11/15)⁹

On rearranging,

x⁵ = (11/15)⁹ / (11/15)⁴

x⁵ = (11/15)⁹ × (11/15)⁻⁴

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

a^m × aⁿ = a^m+n

x⁵ = (11/15)⁹⁺⁽⁻⁴⁾

= (11/15)⁹⁻⁴

= (11/15)⁵

Now, x⁵ = (11/15)⁵

Therefore, x = 11/15

✦ Try This: (9/11)⁶ × (___)⁴ = (9/11)¹⁰. 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 25

(11/15)⁴ × (___)⁵ = (11/15)⁹. Fill in the blanks to make the statement true

Summary:

(11/15)⁴ × (11/15)⁵ = (11/15)⁹

☛ Related Questions:

• (-1/4)³ × (-1/4)⁻⁻⁻⁻ = (-1/4)¹¹. Fill in the blanks to make the statement true
• [(7/11)³]⁴ = (7/11)⁻⁻⁻. Fill in the blanks to make the statement true
• (6/13)¹⁰ ÷ [(6/13)⁵]² = (6/13)⁻⁻⁻⁻. Fill in the blanks to make the statement true