Question

Simplify[12^1/5_27^1/5]^5_2

Answer 1

Answer:

answer is -17

Step-by-step explanation:

(12^1/5-27^1/5)^5-2=

[(12-27)^1/5]^5-2=

[(-15)^1/5]^5-2=

-15-2=-17

Answer 2

Answer:

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}

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