Question 190884
*[Tex \LARGE \left(32\right)^{\frac{4}{5}}] ... Start with the given expression



{{{(root(5,32))^4}}} Convert to radical notation



Note: *[Tex \LARGE \left(x\right)^{\frac{m}{n}}=\sqrt[n]{x^m}] and *[Tex \LARGE \left(x\right)^{\frac{m}{n}}=\left(\sqrt[n]{x}\right)^{m}]. I'm using the second identity.



{{{(2)^4}}} Take the 5th root of 32 to get 2. Remember, since {{{2^5=32}}}, this means that {{{root(5,32)=2}}}



{{{16}}} Raise 2 to the 4th power to get 16



So *[Tex \LARGE \left(32\right)^{\frac{4}{5}}=16]