Express the following in single exponential form: (- 11)² × (-2)²

Solution:

Given, (- 11)² × (-2)².

We have to express it in a single exponential form.

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

a^m × b^m = (a × b)^m

Considering (- 11)² × (-2)²,

Here, a = -11 and b = -2

Also, m = 2

(a × b)^m = ((-11) × (-2))²

= (11 × 2)²

= 22²

Therefore, the required value is 22².

✦ Try This: Express the following in single exponential form: (-5)⁴ × (-7)²

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 81 (f)

Express the following in single exponential form: (- 11)² × (-2)²

Summary:

The single exponential form of (-11)² × (-2)² is 22²

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