Pretest Rules of Exponents

(2n⁴ )(5n⁴)

• 7n⁴

• 10n¹⁶

• 10n⁸

• none of the above

y⁶/y⁴

• y¹⁰

• y²

• y^-2

• 1/y²

Simplify the exponential expression:

• 10x^-2

• 2x²

• 2x¹²

• 10x¹²

What is [ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

• 12(x⁷z¹⁰)

• (x⁷z¹⁰)/12y²

• 1

• (x⁷y^-2z¹⁰)/12

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

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

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

Simplify and leave in exponent form
                            8²/8⁵

• 8³

• 8^2-5 = 8^-3 = 1/8³

• 8^-3

• 8⁷

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