Properties of Exponent Rules Challenge

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

In order to multiply powers with the same base, we add their exponents. 

• True 

• False

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• 2 / x²
• -2x²
• 2x²
• 2x¹⁴