Exponents Quotient Rule

Simplify this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

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

  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

According to exponent rules, when we divide powers we _______ the exponents.

• add

• subtract

• multiply

• divide

Simplify the expression:
5²⋅5¹=

• 5³

• 5³⁺¹

• 5²

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5