Question

As the connected complexity of mathematical concepts evolve, your mathematical knowledge evolves as well. Previous knowledge provides the necessary skills to acquire new learning. Rewrite each the following expressions using the properties of exponents. (ONLY NEED HELP ON D)
`( ( a^(6) )/(27) ) ^{ - (2)/(3) }`

Answer 1

Simplify the expression.

`\begin{gathered} ((a^6)/(27))^{-(2)/(3)}=\frac{(a^6)^{-(2)/(3)}}{(27)^{-(2)/(3)}} \\ =\frac{a^{6\cdot(-(2)/(3))}}{(\sqrt[3]{27})^(-2)} \\ =(a^(-4))/((3)^(-2)) \\ =(9)/(a^4) \end{gathered}`

So answer is,

`(9)/(a^4)`