jblondeeie jblondeeie
  • 03-02-2020
  • Mathematics
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A number to the 8 power divided by the same number to the 5 power equals 27 what is the number

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jay40891
jay40891 jay40891
  • 03-02-2020

Answer:

3

Step-by-step explanation:

Let the number be [tex]x[/tex]. Hence:

[tex]x^{8}[/tex] ÷ [tex]x^{5}[/tex] [tex]= 27[/tex]

[tex]x^{8-5} = 27[/tex] [Laws of Indices: [tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]]

[tex]x^{3} = 27[/tex]

[tex]x = \sqrt[3]{27}[/tex]

[tex]x = 3[/tex]

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