Exponent Rules

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰

• 3 x 10⁴

• 3 x 10^-4

• 3 x 10^-11

Write the answer in scientific notation.
4.1 x 10⁵ +   5.5 x 10⁶  =

• 5.91 x 10⁶

• 9.6 x 10⁵

• 9.6 x 10¹¹

• 4.65 x 10⁵

Express the following in scientific notation:
.000457

• 457 x 10⁶

• 457 x 10^-6

• 4.57 x10⁴

• 4.57 x 10^-4

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

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

  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

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

• 12(x⁷z¹⁰)

• (x⁷z¹⁰)/12y²

• 1

• (x⁷y^-2z¹⁰)/12

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