Respuesta :

ZJSG09112007

Answer:

(B) 4

Step-by-step explanation:

[tex]64 ^\frac{1}{3} \\\\\mathrm{Factor\:the\:number:\:}\:64=4^3\\\\=\left(4^3\right)^{\frac{1}{3}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\\\left(4^3\right)^{\frac{1}{3}}=4^{3\times\frac{1}{3}}\\\\3\times\frac{1}{3}=1\\\\=4^1\\\\=4[/tex]

Amphitrite1040

[tex]\text{Hey there!}[/tex]

[tex]\bf{(64)^ {\dfrac{1}{3}}}[/tex]

[tex]= \bf{\sqrt[3]{64^1} }[/tex]

[tex]\bf{\sqrt{64^1} \ \rightarrow 64}[/tex]

[tex]\sqrt[3]{64}[/tex]

[tex]\sqrt{64}= 8[/tex]

[tex]\bf{We\ solve\ half\ of\ 8 \ by\ dividing\ 8\ from\ 2 \ like: \dfrac{8}{2}}[/tex]

[tex]\bf{\dfrac{8\div2}{2\div2} = \dfrac{4}{1} = 4 }[/tex]

[tex]\bf{Thus, \ your\ answer\ is: \boxed{\bf{B. \ 4}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

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