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––––––––.