Exponent Rules and Solving

  simplify    7^-2

• 1/7² = 1/49

• -49

• -14

• 1/14

Simplify and leave in exponent form
                            8²/8⁵

• 8³

• 8^2-5 = 8^-3 = 1/8³

• 8^-3

• 8⁷

Simplify         m¹²/ m³

• m^12-3  = m⁹

• m^12/3  = m⁴

• m^-9

• -m⁹

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

∛512 = ?

• ≈177

• -8

• -8, 8

• 8

• 32t¹¹r⁸
• 32t³⁰r¹⁵
• -32t³⁰r¹⁵
• -32t¹¹r⁸

• 
• 2x²z⁴

• 3x²y⁵z⁴

• 

Simplify:  (-5p)²

• -25p²

• 25p²

• -5p²

• 5p²

Simplify:  (5p⁹q³)(2pq⁷)

• 7p¹⁰q¹⁰

• 10p⁹q²¹

• 10p¹⁰q¹⁰

• 10p⁸q^-4