Express the following in single exponential form: 5² × 7²

Solution:

Given, 5² × 7²

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 5² × 7²,

Here, a = 5 and b = 7

Also, m = 2

(a × b)^m = (5 × 7)²

= 35²

Therefore, the required value is 35².

✦ Try This: Express the following in single exponential form: 9² × 2²

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

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

Express the following in single exponential form: 5² × 7²

Summary:

The single exponential form of 5² × 7² is 35²

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