Rules of Exponents

Product Rule

100

(8.10^-6).(10⁴)

8.10^-2

200

(8x²).(2x^-7)

16x^-5

300

-x³(3x⁴y²)

-3x⁷y²

400

(4a²b^-3c²).(7a^-6b⁴c⁰)

28a^-4bc²

500

4(x⁴y^-7z⁰)(x^1/23y³z⁴)

12x^9/2y^-4z⁴

Quotient Rule

100

(12.10¹⁰)/(6.10⁴)

2.10⁶

200

(10x³)/(2x⁴)

5x^-1

300

(9x⁷y²)/(3x^-2y⁰)

3x⁹y²

400

(2⁶a⁴b^-2c²)/(a³4b^-2c⁴)

(16a)/c²

500

(4^-2a^-4b⁶c⁰)(a^-3b²7c^-4)

(b⁴c⁴)/(112a)

Power to Power

100

(-3²)²

3⁴=81

200

(5a^-3)^-2

a⁶/25

300

(a^-23b⁷)⁴

81a^-8b²⁸

400

((9a²b³)/27)^-2

9/(a⁴b⁶)

500

((x^-24y⁴c^-4)/(32x^-6y²c³))⁰

1

Mixed

100

((2.10⁴)(3.10^-2))/(4.10²)^-2

96.10⁶

200

-3x³(4x^-6)(-x)²

-12/x

300

((9x⁰)(y^-2)³)/(x^-2)

9x²/y⁶

400

((4xy^-3z)/(2xy))³

8z³/y¹²

500

((4x²y^-2)^-2(2x^-1y²)^-3)/(x³y^-5)³

y¹³/2⁷x¹⁰