Lesson 19 Exponent Rules

Product Rule

100

x^3 * x^6

x^9

200

2x^5 * x^7

2x^12

300

(8r^5)(2r^7)

16r^12

400

(4xf^8)(6xf^4)

24x^2f^12

500

(7s^5p^3)(3s^6p^5)

21s^11p^8

Power Rule

100

(x^4)^5

x^20

200

4(y^3)^2

4y^6

300

(4w^5)^2

16w^10

400

(-3x^2y^-3)^6

729x^12y^-18

500

(8w^{^3}y^{^7})^{^2}

64w⁶y¹⁴

Quotient Rule

100

x^7/x^3

x^4

200

(2x^6)/(x^5)

2x

300

u^9/u^2

u^7

400

(8x^10y^3)/(4x^3y^5)

2x^7y^-2

500

(4m^4y^7)/(8m^8y)

2m^-4 y^6

Mixed Review

100

How to raise a power to a power

What is multiply the exponents

200

How to multiply exponents with the same base

What is keep the base and add the exponents

300

How to divide exponents with the same base

What is keep the base and subtract the exponents

400

(3x^-8)(6x^4)

18x^-4

500

(6a^2 * 3a^-6)/(9y^-5)

(2y^-5)a^-4

Whole Number Exponent Rules

100

(7^-2)^-1

7²  or  49

200

5^-3 (5^-4)

5¹²

300

8²/ 8^-9

8¹¹

400

(-5⁰) (-5³)

-5³

500

2² (2⁴) / (2⁵)

2 or 2¹