Chapter 6 Review

Simplify completely.
√81c⁶d¹⁴

• 9c⁶d¹⁴
• 9c³d⁷
• 40.5c⁶d¹⁴
• 40.5c³d⁷

Simplify completely.
∛-216x¹²

• 6x⁴
• no real roots
• -6x⁴
• -6x⁶

Simplify completely.
√11b⁵⋅√33b

• 11b³√3
• 363b⁶
• 11b²√3b
• 3√11b³

Simplify completely.
√75c⁸d²÷√3c²d

• 25c⁶d
• 5√c⁶d
• 5c³d
• 5c³√d

Simplify completely.
(7 + √7)(4 - √7)

• 28-3√7
• 21-3√7
• 21
• 35+11√7

Simplify completely.
(e²d⁴)⁴

• e⁸d¹⁶
• e⁶d⁸
• e⁸d
• e⁶

Solve for x.
√(3x-2) + 4 = x

• 9
• 2
• 9 & 2
• 6 & -3

Solve for x.
(x²- 14)³= 8

• 4
• -4
• ±4
• 16

f(x) = 4x + 5 and g(x) = x²- 2x
Find (f + g)(x)

• x³+ 2x²+ 5x
• -x²+ 6x + 5
• x²+ 2x + 5
• x²+ 6x + 5

f(x) = 4x + 5 and g(x) = x²- 2x
Find (f⋅g)(x)

• 5x⁴ - x³- 10x²
• 5x³- x²- 10x
• 4x⁴- x³- 10x²
• 4x³- x²-10x