Question

Evaluate: 64 ^1/3 A) 3 B) 4 C) 6 D) 8

Answer 1

$\text{Hey there!}$

$\bf{(64)^ {\dfrac{1}{3}}}$

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

$\bf{\sqrt{64^1} \ \rightarrow 64}$

$\sqrt[3]{64}$

$\sqrt{64}= 8$

$\bf{We\ solve\ half\ of\ 8 \ by\ dividing\ 8\ from\ 2 \ like: \dfrac{8}{2}}$

$\bf{\dfrac{8\div2}{2\div2} = \dfrac{4}{1} = 4 }$

$\bf{Thus, \ your\ answer\ is: \boxed{\bf{B. \ 4}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{LoveYourselfFirst:)}$

Answer 2

Answer:

(B) 4

Step-by-step explanation:

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