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## What is the relationship between the exponent in the division problem and the quotient?

Lesson Summary

The quotient rule states that when exponents with the same base are being divided, **we simply just subtract the exponents to simplify the expression**. If you subtract the exponents and the number is negative, just put the whole term in the denominator and make the exponent positive.

**Always dividend is related to numerator of the fraction and divisor is related to denominator of the fraction**. In the division 3 ÷ 4, 3 is dividend and 4 is divisor. Hence, the dividend 3 is related to the numerator “3” of the fraction and the divisor 4 is related to the denominator “4” of the fraction. .

## What is the relation between dividend divisor and remainder?

Dividend – Dividend is the number that is to be divided by the **divisor**. Divisor – The number by which the dividend is to be divided is called the divisor. Quotient – The resultant of the division is called the quotient. Remainder – The number that is left after division is called the remainder.

## What is the difference between a quotient and a divisor?

The number which **divides a given number** is the divisor. And the number which we get as a result is known as the quotient. The divisor which does not divide a number completely produces a number, which is referred to as remainder.

## What happens to exponents when you divide?

When dividing exponents **subtract the exponents on the bottom from the exponents on the top**. … When raising an exponent to a power, multiply them together.

## Which exponent rule says to keep the same base and multiply the exponents?

It says what to do if we raise a power to another power. Basically, we want to multiply the exponents. Finally, there is the **regular product rule**. It says that if we multiply exponents with the same base, to add the exponents together.

## What is the difference between the dividend and divisor of both the quotient and remainder are 1?

7, the term we’re dividing by something else, is called the dividend. 4, which is doing the dividing, is called the divisor. 1, the whole number component of the mixed fraction, is the quotient. And **3** is the remainder.

## Where does the dividend go in a division problem?

The divisor is the number appearing to the left, or outside, of the division bracket, while the dividend appears to **the right, or underneath, the division bracket**.

## How do these degrees of the dividend and the divisor affect the degree of the quotient?

Note: The degree of the quotient is one **less than the degree of the** dividend. And the degree of the remainder is less than the degree of the divisor, x + 3, which in this case is 1. … In general, if we divide a polynomial of degree n by a polynomial of degree 1, then the degree of the quotient will be n − 1.