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Exponent Rules

100

(4x³y²)²

16x⁶y⁴

200

-(2x³y^-2)(-xy⁵)

2x⁴y³

300

6x³y^-5z^-1

6x/y⁵z

400

(5c^-2d⁵/c⁴d²)^-2

c¹²/25d⁶

500

3𝑥3𝑦 − (𝑥2𝑦3)(7𝑥𝑦−2) 

-4x³y

Complex Numbers

100

−𝑖(5−𝑖)+2(3−7𝑖)

5-19i

200

 (−2 + 9𝑖)2 

-77-36i

300

-6-10i/9i

-10+6i/9

400

-7-4i/-8+i

4+3i/5

500

(2i+7)²-4i

10i+45

Linear and Absolute Value Equations

100

8-4(n-1)=-2n+18

n=-3

200

15/4(12x-8/3)=9(2+5x)

No Solution

300

|5-2x|=11

x={-3,8}

400

|4p-9|=6+p

p={3/5, 5}

500

-5-|-3-4x|=11

No Solution

Solving Rational Equations

100

k+(6/4-k)=(2/k-4)

k=-8 k cant equal 4

200

(1\2k²)-(3/k)=(1/k²)

k=-1\6

300

n+3=(n²+3n-4)\(n-2)+(3/n-2)

n=-5/2

400

(p+4)/3=13/(p-6)

(p+7)(p-9)

500

(1/3n)-((n-4)/3n²)=(1/3)

n=2,-2

Factoring

100

x²+7x+12

(x+3)(x+4)

200

x²-x-42

(x-7)(x+6)

300

x²-64

(x+8)(x-8)

400

x³-343

(x-7)(x²+7x+49)

500

8x³+27

(2x+3)(4x²-6x+9)