Exploring the Quotient Rule in Exponent Laws

What is the quotient rule used for in exponent laws?

• Dividing exponents

• Subtracting exponents

• Multiplying exponents

• Adding exponents

Simplify: 3^5 / 3^3 using the quotient rule.

• 3^8

• 3^1

• 3^2

• 3^15

What is the result of (x^6 / x^2) * (y^4 / y^3)?

• x^4 * y

• x^3 * y^2

• x^8 * y

• x^2 * y^3

Simplify: k^7 / k^5 * m^10 / m^3.

• k^2 * m^7

• k^5 * m^7

• k^2 * m^3

• k^12 * m^13

What is the simplified form of 12x^3y^6 / 3xy^2?

• 4x^2y^4

• 4x^3y^3

• 4x^2y^3

• 4x^3y^4

How do you simplify (2^3 * a^2 * b^4) / (3^3 * a * b^2) using the quotient rule?

• 8a^3b^6 / 27

• 8a^2b^2 / 27

• 8a^2b^6 / 27

• 8a^3b^2 / 27

Simplify: (3^3 * x^2) / (36 * x^4).

• 3/4 * x

• 3/4 * x^3

• 3/4 * x^2

• 3/4 * x^4

What is the result of (2^4 * x^4 * y^5) / (2^2 * x^2 * y^3)?

• 4x^3y^3

• 4x^2y^2

• 4x^2y^3

• 4x^3y^2

Simplify: (9a^7b^2 * 4a * b) / (4a^3b^2).

• 9a^5b

• 9a^4b

• 9a^5b^2

• 9a^4b^2

What is the simplified form of (2^2 * m^3)^2 * (3^3 * n^4)^3 / (12m^5n^4)?

• 9m^2n^8

• 9m^1n^7

• 9m^2n^7

• 9m^1n^8