Exponents Review

Evaluate

100

Evaluate when x = -6 and y = 9

2y - 4x

42

200

Evaluate when x = -2 and y = 3

y² + x²

13

300

Evaluate when x = 3 and y = -2

x² - y³

17

400

Evaluate when x = -4 and y = 2

x^2/y^2

4

500

Evaluate when x = -2, y = 3 and z = -4

z² - y³ + x²

-7

Multiplying

100

x² * x³

x⁵

200

6² * 6³

6⁵

300

(3x²y³)(4x³y⁴)

12x⁵y⁷

400

(2a²b³)(-3ab⁴)

-6a³b⁷

500

x⁶ * 9 * x⁵ * 9 * 9³ * x

9⁵x¹²

Dividing

100

x^7/x^3

x⁴

200

7^5/7^4

7

300

(36x^7)/(4x^2)

9x⁵

400

(42x^6y^2)/(7x^4y^5)

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

500

(56x^-2y^-5)/(8x^-4y^-2)

 

(7x^2)/(y^3)

Power to a Power

100

(a²)³ 

a⁶

200

(ab³)⁵ 

a⁵b¹⁵

300

(4²x³y⁴)³

4⁶x⁹y¹²

400

((-2)⁴a³b⁴)⁴ 

(-2)¹⁶a¹²b¹⁶

500

(8x^-3y⁴)^-3

(x^9)/(8^3y^12)

Negative Exponents

100

x^-3

1/x^3

200

4^-8

1/4^8

300

16x^-4y⁵

(16y^5)/x^4

400

(-2x⁴y^-6)(5x⁷y^-9)

(-10y^3)/x^3

500

(54x^2y^8)/(6x^5y)

(9y^7)/x^3