GoatedOnDaStixx GoatedOnDaStixx
  • 20-06-2019
  • Mathematics
contestada

The value of the expression 16-^3/4 is___
8
1/8
-6
6
1/40
1/64

Respuesta :

jimrgrant1 jimrgrant1
  • 20-06-2019

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Using the rules of exponents

•  [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Hence

[tex]16^{-\frac{3}{4} }[/tex] = [tex]\frac{1}{16^{\frac{3}{4} } }[/tex]

= [tex]\frac{1}{\sqrt[4]{16^{3} } }[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]

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