destinydabaddie123 destinydabaddie123
  • 03-01-2021
  • Mathematics
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Which number is equivalent to 32^3/5

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raduoprea160
raduoprea160 raduoprea160
  • 03-01-2021

when a number is raised to the power of a rational number it becomes a root of the denominator's order and the number inside the root is raised by the power of the numerator

for example

[tex]x^{\frac{a}{b} }=\sqrt[b]{x^a}[/tex]

in this case

[tex]32^{\frac{3}{5} }=\sqrt[5]{32^3}[/tex]

[tex]=\sqrt[5]{32768}[/tex]

=8

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