Question

calcule o valor das expressões​

Answer 1

$a)\\81^{\frac{1}{4} } + 81^{-\frac{1}{4} } \\(9^{2} )^{\frac{1}{4} } + (9^{2} )^{-\frac{1}{4} } \\9^{\frac{1}{2} } + 9^{-\frac{1}{2} }\\\sqrt{9} +\frac{1}{\sqrt{9} } \\3 + \frac{1}{3} \\= \frac{10}{3}$

$b)\\8^{\frac{1}{3} } * 125^{\frac{2}{3} } \\(2^{3} )^{\frac{1}{3} } + (5^{3} )^{\frac{2}{3} } \\2 * 5^{2} \\2 * 25\\= 50$

$c)\\ \frac{343^{\frac{4}{3} }}{49^{\frac{1}{2} }} \\\frac{(7^{3})^{\frac{4}{3} }}{(7^{2})^{\frac{1}{2} }} \\\frac{7^{4} }{7}} \\7^{3} \\= 343$

$d)\\36^{\frac{3}{2} } - 321^{\frac{2}{5} } \\(6^{2} )^{\frac{3}{2} } - (2^{5} )^{\frac{5}{5}}\\ 6^{3} - 2^{2}\\216 - 4\\= 212$