Question

Simplify [8^-4/3÷2^-2]^1/2

Answer 1

Answer:

${( {8}^{ \frac{ - 4}{3} } } \div {2}^{ - 2} )^{ \frac{1}{2} } \\( ({ {2}^{3} })^{ \frac{ - 4}{3} } \times \frac{1}{ {2}^{ - 2} } )^{ \frac{1}{2} } \\ ( {2}^{ - 4} \times {2}^{2} )^{ \frac{1}{2} } \\ { {2}^{ - 2} }^{ \frac{1}{2} } \\ {2}^{ - 1} \\ \frac{1}{2}$

Answer 2

Step-by-step explanation:

Answer:

\begin{gathered} {( {8}^{ \frac{ - 4}{3} } } \div {2}^{ - 2} )^{ \frac{1}{2} } \\( ({ {2}^{3} })^{ \frac{ - 4}{3} } \times \frac{1}{ {2}^{ - 2} } )^{ \frac{1}{2} } \\ ( {2}^{ - 4} \times {2}^{2} )^{ \frac{1}{2} } \\ { {2}^{ - 2} }^{ \frac{1}{2} } \\ {2}^{ - 1} \\ \frac{1}{2} \end{gathered}(83−4÷2−2)21((23)3−4×2−21)21(2−4×22)212−2212−121