Question

Simplify (144^(-3/2))^(-1/6)

Answer 1

Answer:

answer right or wrong write on comment box

Answer 2

Answer:

$2\sqrt{3}$

Step-by-step explanation:

$(144^{-\frac{3}{2}})^{-\frac{1}{6}}$

Using power property of exponent,

$\text{i.e. }(a^m)^n=a^{m\times n}$

$=144^{-\frac{3}{2}\times -\frac{1}{6}}$

$=144^{\frac{1}{4}}$

$=(144^\frac{1}{2})^\frac{1}{2}$

$=(4\times 3)^\frac{1}{2}$

$=\sqrt{4}\times \sqrt{3}$

$=2\sqrt{3}$