Question

Lets evaluate (3^6)^1/2step by step.

Answer 1

Answer:

27

Step-by-step explanation:

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

use

$(a^n)^m=a^{n\cdot m}$

$\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}$

simplify

$6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3$

other

$6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3$

therefore

$\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27$

Answer 2

$\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}$