Question

Determine whether 7^2m · 6^2m is equivalent to each of the following expressions:

42^6m
42^m
42^9m

Answer 1

Not equivalent to any of the options

Explanation:

Given:

7^2m * 6^2m

Since, they both have different bases, multiply the bases and add the powers

7^2m * 6^2m

= (7 * 6)^(2m + 2m)

= 42^4m

Therefore,

7^2m * 6^2m is equivalent to 42^4m

A. 42^6m

Not equivalent

B. 42^m

Not equivalent

C. 42^9m

Not equivalent