1/16 to the power of -3/2

Question

0

1152

1

Guest Oct 11, 2014

+118723

+5

Best Answer

$$\\\left(\frac{1}{16}\right)^{-3/2}\\\\
=\left(\frac{16}{1}\right)^{3/2}\\\\
=16^{3/2}\\\\
=(16^{1/2})^3\\\\
=4^3\\\\
=64$$

If you want to understand more, look here.

Melody Oct 11, 2014

Melody · Answer 1 · 2014-10-11T12:22:33

$$\\\left(\frac{1}{16}\right)^{-3/2}\\\\
=\left(\frac{16}{1}\right)^{3/2}\\\\
=16^{3/2}\\\\
=(16^{1/2})^3\\\\
=4^3\\\\
=64$$

If you want to understand more, look here.