Exponent Rules Review

Product of Powers

100

z*4z^10

4z^11

200

3y^5(4y^6)

12y^11

300

2x^5*4p^2*5x^2

40p²x⁷

400

(-3x^4y^5)(-4x^3y)

12x⁷y⁶

500

(3y^2(5x^2y^4))/(5xy^5)

3xy

Power of a Power

100

(2r^2)^3

8r⁶

200

(4x⁸y⁵z³)²

16x¹⁶y¹⁰z⁶

300

(2x^4y^5)^6

64x^24y^30

400

(-8a^6s^4d)^3

-512a^18s^12d^3

500

1/4(4x^3y)^2(3x^2y^6)

3x⁸y⁸

Quotient of Powers and Negative Exponents

100

(8x^5)/(20x^9)

2/(5x^4)

200

(12a^3 b^2 c^5) / (16a^2 b^4 c^5)

(3a)/(4b^2)

300

[ 3 b ^ 4)/ (6 b^ -4)

b^8/2

400

(4x^-2y^4z^-1)/(16x^2y^3z^-3)

(yz^2)/(4x^4)

500

((4m^3n)/(6p^5))^-2

(9p^10)/(4m^6n^2)

Zero Power and Radical Exponents

100

(16x^4y^7)^0

1

200

17^(2/3)

root(3)(17^2)

300

sqrt (16^7)

16^(7/2)

400

(24a^7b^3c)/(3a^2b^3ca^5)

8

500

(4a^3b^(1/2))^2/(2a^5b^2(16a^4b))

(1)/(2a^3b^2)

Simplifying Radicals

100

sqrt100

10

200

sqrt200

10sqrt2

300

sqrt75

5sqrt3

400

sqrt108

6sqrt3

500

(6e^3fg)^2/(9e^-8f^2g^-4)

4e¹⁴g⁶