Practicing Rules of Exponents with Monomials

Simplify and leave in exponent form
                            8²/8⁵

• 8³

• 8^2-5 = 8^-3 = 1/8³

• 8^-3

• 8⁷

Simplify to an equivalent expression BUT leave in exponent form.
                                   4³⋅4⁵

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

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 multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

(-2)³⋅(-2)⁶

• (-2)⁹

• (-2)¹⁸

• (-2)⁻³

• (-2)

8⁷ ⁄ 8²

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

• x⁴
• x⁸
• x¹²
• x²⁰

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add

• subtract

• multiply

• divide

x⁵⁄x³

• x²

• x

• 1

• x⁸