Laws of Exponents

Squares and Roots

100

SQUARE ROOT of: 36

6

200

SQUARE ROOT of: 49

7

300

SQUARE ROOT of: 121

11

400

SQUARE ROOT of: 196

14

500

CUBE ROOT of: 27

3

Addition

100

x + x 

2x

200

2x + 3x + x² + 4x²

5x + 5x²

300

3x + 7x + 2x³ + x

11x + 2x³

400

14x + 13x + x³ + x²

27x + x³ + x²

500

3x² + 6x + 17x² + 10x + x⁴

20x² + 16x + x⁴

Subtraction

100

x - x = ?

0x

200

9x - 3x + 2x² - x²= ?

6x - x²

300

45x - 12x + 14x² - 7x²

33x + 7x²

400

21x - 7x - 14x² - x

13x - 14x²

500

43x - 17x - 3x - 2x - 2x² - 3x²

21x - 5x²

Multiplication

100

x² (x³)

x⁵

200

x³ (x²) (x)

x⁶

300

x¹⁹ (x³) (x²)

x²⁴

400

x¹¹ (x⁴) (x¹⁰) (x¹³)

x³⁸

500

x¹⁷ (x²⁴) (x²) (x⁴) (x)

x⁴⁸

Division

100

x² / x

x

200

x¹⁴ / x³ / x²

x⁹

300

x²⁷ / x⁹ / x³ / x

x¹⁴

400

x¹⁷ / x¹² / x³ / x / x

0x

500

x³⁹ / x¹⁴ / x⁶ / x² /x²

x¹⁵