Laws of Radical and Exponents

Rewrite x^3/4 in radical form

• ³√(x)⁴
• ⁴√(x)³
• ^x√(3)⁴
• 1/(³√(x)⁴)

Evaluate ⁴√(81).

• 3
• 9
• 27
• 243

What is the cube root of 8?

• 4
• 2
• -2
• -4

5³⋅5⁴

• 5⁷
• 5⁻¹
• 5¹²
• 5

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

1.)  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

Simplify         m¹²/ m³

• m^12-3  = m⁹
• m^12/3  = m⁴
• m^-9
• -m⁹

Solve the equation.

• A
• B
• C
• D

The amount of bacteria in an infection n hours after taking medication is (1/x³)ⁿ .      
Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.

•  (1/x³)⁴
•  (1/x³)^-4
•  (1/x⁷)
•  (1/x³)⁴ = (1⁴) / (x^{3 times4}) = 1/x¹²