Polynomials and exponents

multiplying with exponents

100

(8x⁴)(-9x⁶)

 

-72x¹⁰

200

(x⁴y³)*(x^-2y⁵)

x²y⁸

300

(10x⁴)(4y²)

40⁴y²

400

x⁸*x^-10

1/x²

500

4x^-3*7x^-6

28/x⁹

dividing with exponents

100

x¹⁰/x⁴

x⁶

200

x²/x⁵

1/x³

300

15x³y⁷/5xy⁴

3x²y³

400

12x²y⁵/8x⁶y²

3y³/2x⁴

500

x⁷/2x⁷

1/2

power to a power

100

(x³)⁷

x²¹

200

(5x⁴)²

25x⁸

300

(4x^-3y⁴)³

64y¹²/x⁹

400

(5x⁰)^-2

1/25

500

(6x⁴y^-6)^-2

y¹²/36x⁸

+and - polynomials

100

(4x-3x²+15)+(7x-10-5x²)

-8x²+11x+5

200

(x⁴+5x³+4x-11)-(6x³-2x+4)

x⁴-x³+6x-15

300

(-6x³+15x⁶)-(4x⁶-11x³)

11x⁶+5x³

400

(10-5x+14x³-x²)-(12x+10-9x²+7x³)

7x³+8x²-17x

500

(8x³+17x+1)+(-17x-1-8x³)

0

classifying polynomials

100

6x³+5x²+4x-1

cubic polynomial

200

5x²-3x+1

quadratic trinomial

300

15,000

Constant monomial

400

-8x+1

linear binomial

500

-15x²

quadratic monomial