Question

qual é o resultado da potência 256¼​

Answer 1

256¹/⁴ = ⁴√256= ⁴√2^8= ⁴√(2²)⁴ =(2²) =4

Answer 2

$256={2}^{8}$

$\mathsf{{256}^{\frac{1}{4}}={({2}^{8})}^{\frac{1}{4}}}\\\mathsf{{2}^{\frac{8}{4}}={2}^{2}=4}$

$\huge\boxed{\boxed{\mathsf{{256}^{\frac{1}{4}}=4}}}$