Is the given statement true or false?

The Quotient of is .

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- The word obtained by dividing two terms is referred to as a quotient. The word being divided is referred to as a dividend, and the term by which it is being divided is referred to as the divisor. Dividend sits above the fraction known as the numerator when divisor and dividend are written as fractions, while the divisor sits below the denominator. fraction

The numerator and denominator of theQuestion both have constant terms that are the same and have some power added to them that is different. We'll employ the power of quotient property, which generally states that when the numerator and denominator share constant terms that have some raised power on them, those constant terms transfer to the raised power of the numerator shared by those same constant terms that have raised power subtracted.

The increased power is inverse when the term in the denominator is not in the numerator.
Divide

where

is the dividend will lie on the numerator and

is the divisor, which lies on the denominator.
As we can see, the constant terms

, and

are both in the numerator and have increased power due to the denominator.
After that, transfer the raised power of the constant terms in the denominator to the numerator and subtract it from the raised power of the constant terms.

So, the answer is

.
Hence, the given statement is true.
Syllabus: CBSE

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