Question

the value of 64^-3/2 is what?

Answer 1

Answers:-

$\frac{1}{512}$

Step-by-step explanation:

$(\frac{1}{64} )^{3/2} =(\frac{1}{8} ){3} =\frac{1}{512}$

Answer 2

$\huge\boxed{\underline{\bf { \red S \green O \pink L \blue U \orange T \purple I \red O \pink N \green{..}}}}$

$\longmapsto \sf{64}^{ \frac{ - 3}{2} }$

$\longmapsto \sf{8}^{2 \times \frac{( - 3)}{2} }$

$\longmapsto \sf {8}^{ - 3}$

$\longmapsto \sf \bigg( { \frac{1}{8} \bigg) }^{3}$

$\longmapsto \sf \frac{1}{512}$