Question

(12^1/5/27^1/5)^5/2 simplify

Answer 1

here is solution.............

Answer 2

Answer:

The answer is 2/3.

Step-by-step explanation:

Here, the given expression,

$(\frac{12^\frac{1}{5}}{27^\frac{1}{5}})^\frac{5}{2}$

$=\frac{(12^\frac{1}{5})^\frac{5}{2}}{(27^\frac{1}{5})^\frac{5}{2}}$

$=\frac{12^{\frac{1}{5}\times \frac{5}{2}}}{27^{\frac{1}{5}\times \frac{5}{2}}}$

$=\frac{12^\frac{1}{2}}{27^\frac{1}{2}}$

$=(\frac{12}{27})^\frac{1}{2}$

$=(\frac{4}{9})^\frac{1}{2}$

$=\sqrt{\frac{4}{9}}$

$=\frac{2}{3}$