MATH 1090

ExponentialMul/div

100

(x^a)(x^b) 

X^a+b

200

X^a/X^b

X^a-b

300

(2x)³(3x)^-3

8/27

400

(6x²)²/(6x³)

6x

500

(3x²y^-4)³

27x⁶/y¹²

exponential sum/difference

100

2³ + 2²

12

200

3⁴ + 3³

90

300

(x^-2 + x³)^-1

x²/(1 + x⁵)

400

(2x^-3 + 3x)²

(2 + 3x⁴)²/(x³)²

500

(2x - y^-2)^-1

y²/(2xy² - 1)

AbsoluteValue

100

What’s the value of |x| when x=3

3

200

What’s the value of |x| when x=-3

3

300

Evaluate |x-5| when x<5

-(x-5) = 5-x

400

Evaluate |2x - 4| when x > 2

2x - 4

500

Evaluate |x|/x when x<0

-1

Exponential rules

100

Evaluate: (-3x⁵)²

9x¹⁰

200

Simplify: (s³s⁶)/(s¹⁸)

1/s²

300

 Write in only positive exponents: [(a⁷b^-6)/3]^-3

(27b¹⁸)/a²¹

400

Write in only positive exponents: (6x^-3y⁵)/(-2x^-10y^-1)

-3x⁷y⁶

500

Simplify and write in only positive exponents:

(3a^-7b⁶c⁰)^-2(-7a⁴b⁵)²

(16a²²)/b²

Radicals

100

Simplify and write your answer in radical form if necessary.

√(16) + √(9) - √(25) 

2

200

Simplify and write your answer in radical form if necessary.

√(12) - √(27) + √(48)

2√(2) + √(3)

300

Simplify:  √(36x⁶y⁴)

6x³y²

400

if √(x) = 5, what is the value of x?

25

500

Solve the equation: √(x + 4) = 6

x = 32