Module 6 Polynomials and Scientific Notation

Exponent Rules

100

Simplify (x)^-3

What is 1/x³

200

Simplify (-3/4)²

What is 9/16

300

Simplify 5²² * 5²³ 

What is 5⁴⁵

400

Simplify (7x)³

What is 343x³

500

Simplify 

(2x³/y⁴)²

What is 4x⁶/y⁸

Add/Subtract Polynomials

100

Add: 2x²+7x²

What is 9x²

200

Add: (2x²+5) + (8x²-2)

What is 10x²+3

300

Add: (x²-7x+4)+(3x²+8x+2)

What is 4x²+x+6

400

Subtract (2x²-9x-7) from (5x²+7x-2)

What is 3x²+16x+5

500

Subtract (-8a²+14a+2) from (13a²-6a-5)

What is 5a²-20a-7

Multiply Polynomials

100

Multiply 5x*2x

What is 10x²

200

Multiply (4x²)(8x³)

What is 32x⁵

300

Multiply (5p⁶)(-7p²q⁷)

What is -35p⁸q⁷

400

Multiply: -7x(4x+3)

What is -28x²-21x

500

Multiply: (3x²-4)(5x³+10)

What is 15x⁵-20x³+30x²-40

Dividing Polynomials

100

Divide: x⁷/x⁵

What is x²

200

Divide: m⁴/m⁸

What is 1/m⁴

300

Divide: (10x²-5x+25)/5

What is 2x²-x+5

400

Divide:

(-12m⁴n³+30mn⁴)/(6mn²)

What is -2m³n+5n²

500

Divide:

(-50x⁶y⁵+120x³y³)/(10x³y²)

What is -5x³y³+12y

Scientific Notation

100

Convert to decimal form: 

1.782*10^-5

What is 0.00001782

200

Convert to scientific notation: 

42500000

What is 4.25*10⁷

300

Convert to scientific notation:

0.017

What is 1.7*10^-2

400

Multiply. Write your answer in decimal form.

(7*10^-6)(1.2*10⁷)

What is 84

500

Divide. Write your answer in decimal form.

(1.6*10^-2)/(2*10^-4)

What is 80