using the power of a power property, $(2^6)^{1/3}$ simplifies to $2^2$. which of the following is also equal…

using the power of a power property, $(2^6)^{1/3}$ simplifies to $2^2$. which of the following is also equal to $2^2$?\n$8^{1/3}$\n$2^3$\n$8^{2/3}$\n$64^{2/3}$

using the power of a power property, $(2^6)^{1/3}$ simplifies to $2^2$. which of the following is also equal to $2^2$?\n$8^{1/3}$\n$2^3$\n$8^{2/3}$\n$64^{2/3}$

Answer

Explanation:

Step1: Calculate target value

$2^2 = 4$

Step2: Evaluate first option

$8^{1/3} = \sqrt[3]{8} = 2$

Step3: Evaluate second option

$2^3 = 8$

Step4: Evaluate third option

$8^{2/3} = (\sqrt[3]{8})^2 = 2^2 = 4$

Step5: Evaluate fourth option

$64^{2/3} = (\sqrt[3]{64})^2 = 4^2 = 16$

Answer:

$\boldsymbol{8^{2/3}}$