Applying the Rules of Exponents Practice

Simplify         m¹²/ m³

• m^12-3  = m⁹

• m^12/3  = m⁴

• m^-9

• -m⁹

  simplify    7^-2

• 1/7² = 1/49

• -49

• -14

• 1/14

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

Simplify.

• 0

• q

• q²

• 1

Evaluate.

• 81

• 18

• 9

• 2

Simplify.

• 3a³b⁶

• 9a³b⁹

• 27a³b⁹

• 27ab⁹

Simplify.

• 10a⁴b³c³

• -10a⁴b³c³

• -10a⁴b²c²

• 10a³b²c²

Simplify.

• -12m⁸

• -12m⁴n⁴

• -24m⁴n⁴

• 24m⁴n⁴

Simplify.

• 7s⁵t

• -7/5s⁵

• 7/5s⁵

• 7/5s⁵t

Simplify.

• 3

• 3²

• 27

• 1/3³