Exponents Rule

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

3^{0 =}

• 0

• 1

• 3

• 6

100^{0 =}

• 0

• 10

• 100

• 1

32^{0 =}

• 0

• 32

• 32³²

• 1