Exploring the Quotient Rule of Exponents

What is the first step in applying the quotient rule of exponents?

• Multiply the bases

• Subtract the exponents

• Divide the exponents

• Check if the bases are the same

What is the base in the expression x^m / x^n when applying the quotient rule?

• n

• m

• x

• mn

What do you do after confirming the bases are the same in the quotient rule?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

In the expression x^5 / x^3, what is the simplified form?

• x^-2

• x^8

• x^2

• x^15

How do you simplify the expression 6x^8y^4 / 24x^5y^10?

• x^3y^14 / 4

• x^13y^-6

• x^3 / 4y^6

• x^3y^-6 / 4

What rule is applied to change the position of a variable with a negative exponent?

• Negative exponent rule

• Quotient rule

• Power rule

• Product rule

What is the result of simplifying the fraction 6/24 in the context of the quotient rule?

• 2/3

• 1/6

• 1/4

• 1/3

What is the simplified form of the expression with variables x and y, given x^8 / x^5 and y^4 / y^10?

• x^3y^6

• x^3y^-6

• x^13y^14

• x^3 / y^6

In the expression 4x^2y^6 / 12x^12y^2, what is the simplified form?

• x^-10y^4 / 4

• y^4 / 4x^10

• x^10 / 4y^4

• y^4x^-10 / 4

What happens to the exponent of a variable when it is moved to the denominator to make it positive?

• It is squared

• It remains unchanged

• It is halved

• It is inverted