Question

Simplify this question

Answer 1

$Given : (27)^ -\frac{3}{2}$

$= \ \textgreater \ \frac{1}{27^ \frac{3}{2} }$

$= \ \textgreater \ \frac{1}{(3^3)^ \frac{3}{2} }$

$= \ \textgreater \ \frac{1}{3^ \frac{9}{2} }$

$= \ \textgreater \ \frac{1}{3^4 * 3^ \frac{1}{2} }$

$= \ \textgreater \ \frac{1}{81 * 3^ \frac{1}{2} }$



Hope this helps!

Answer 2

hiii!!!

here's Ur answer...

${(27)}^{ \frac{ - 3}{2} } \\ \\ = \frac{1}{ {(27)}^{ \frac{3}{2} } } \\ \\ = \frac{1}{ {(3 \times 3 \times 3)}^{ \frac{3}{2} } } \\ \\ = \frac{1}{ {(3)}^{ 3 \times \frac{3}{2} } } \\ \\ = \frac{1}{ {(3)}^{ \frac{9}{2} } }$