(-1/4)³ × (-1/4)⁻⁻⁻⁻ = (-1/4)¹¹. Fill in the blanks to make the statement true.

Solution:

Given, (-1/4)³ × (-1/4)⁻⁻⁻⁻ = (-1/4)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 × aⁿ = a^m+n

Here, a = (-1/4)

Also, m = 3 and m+n = 11

Now, 3 + n = 11

n = 11 - 3

n = 8

aⁿ = (-1/4)⁸

Therefore, the required value is (-1/4)⁸

✦ Try This: (-3/5)⁹ × (-3/5)⁻⁻⁻⁻ = (-3/5)¹⁶. 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 26

(-1/4)³ × (-1/4)⁻⁻⁻⁻ = (-1/4)¹¹. Fill in the blanks to make the statement true

Summary:

(-1/4)³ × (-1/4)⁸ = (-1/4)¹¹

☛ Related Questions:

• [(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
• [(-1/4)¹⁶]² = (-1/4)⁻⁻⁻. Fill in the blanks to make the statement true