Questão - 1. Calcule o valor das expressões: (a) ((1)/(2))^(-2)+[2^(-1)-(-2)^(-1)]^(-1) (b) (3^(1//3))^(6//4)*9^(1//2) . (c) (0,000001*(0,01)^(2)*10000)/(0,0001) (d) (2^(-1)+2^(-(1)/(2)))^(-2) (e) root(3)((2^(29)+2^(30))/(10)) Questão - 2. Calcule o valor da expressão M=(a^(3x)+a^(-3x))/(a^(x)+a^(-x))". " sendo a^(2x)=3 .

<p> <br />This set of questions is related to Mathematics, more specifically the topic of exponents and roots. Exponent elevates a number to the power indicated next to it and roots calculate the power that raises a given number to a certain capacity.<br />Each question will be dealt with respectively as follows:<br />a) It applies the properties of exponents and the idea of inverse numbers, with the particularity of having negative exponents.<br />b) It includes cube and square roots and applies properties of exponents such as distributive.<br />c) It involves multiplication and division combined with scientific notation usage.<br />d) Utilize properties of equivalence between fraction division and exponentiation, multiply both terms and take square Roots for -2. <br />e) After applying the cube root and reducing same basis exponent with different degrees, the expression can simplify all orders.<br />In question 2, the value can be calculated by factoring both the numerator and the denominator and relationship between a & b, to get total 'M' as answer.<br /><br /></p>