Question

Pls give me correct answer​

Answer 1

$\sqrt[4]{ \sqrt[3]{ {3}^{2} } }$

We know that

ᵐ√a = a^( 1/m )

$= \sqrt[4]{ ({3}^{2})^{ \dfrac{1}{3} } }$

Using laws of exponents ( a^m )^n = a^( mn)

$= \sqrt[4]{ 3^{ \dfrac{2}{3} } }$

We know that

ᵐ√a = a^( 1/m )

$= \bigg(3^{ \dfrac{2}{3}} \bigg)^{ \dfrac{1}{4} }$

Using laws of exponents ( a^m )^n = a^( mn)

$= 3^{ \dfrac{2}{3} \times \dfrac{1}{4} }$

$= 3^{ \dfrac{1}{3} \times \dfrac{1}{2} }$

$= 3^{ \dfrac{1}{6} }$

Answer b) 3^( 1/6 )