Rsmith031320 Rsmith031320
  • 22-11-2019
  • Mathematics
contestada

What is 4x with a power of 3 = 500

Respuesta :

frika
frika frika
  • 26-11-2019

Answer:

[tex]x=\dfrac{5}{2\sqrt[3]{2} }[/tex]

Step-by-step explanation:

Solve the equation

[tex](4x)^3=500[/tex]

First, rewrite it

[tex]4^3\cdot x^3=500\\ \\64x^3=4\cdot 125\\ \\16x^3=125\\ \\x^3=\dfrac{125}{16}[/tex]

Now take cubic root:

[tex]x=\sqrt[3]{\dfrac{125}{16}}=\dfrac{\sqrt[3]{125} }{\sqrt[3]{16} } =\dfrac{5}{2\sqrt[3]{2} }[/tex]

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