madijordan01 madijordan01
  • 19-10-2018
  • Mathematics
contestada

what is the radical form of 64 ^ 3/2

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SqeeSherk
SqeeSherk SqeeSherk
  • 19-10-2018

im petty sure its 16

Answer Link
austint1414
austint1414 austint1414
  • 19-10-2018

[tex]Solution, 64^{\frac{2}{3}}=16[/tex]

[tex]Steps:[/tex]

[tex]64^{\frac{2}{3}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:64=4^3, =\left(4^3\right)^{\frac{2}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}, \left(4^3\right)^{\frac{2}{3}}=4^{3\cdot \frac{2}{3}}=4^2, =4^2[/tex]

[tex]\mathrm{Refine}, =16[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:16}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

Answer Link

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