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Question

Which of the terms given below is a like term to 7a5b4?

A
14a4b5
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B
7a4b4
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C
36a5b5
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D
81a5b4
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Solution

The correct option is D 81a5b4
Like Terms:–––––––––––––
Like terms in algebra are the terms which contain the same variables raised to the same power (or exponent).

Given term =7a5b4
Variables are a and b.
Powers of a and b are 4 and 5 respectively.

Now, let's list the variables and their respective powers as depicted in below table,
As per the table, we can clearly observe that 81a5b4 has variables a and b with powers 5 and 4 respectively.

As a result, 81a5b4––––––– is the like term to 7a5b4––––––.

Therefore, option (d.) is the correct answer.

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