Challenging Questions Mathematics – Compulsory Part Learning Unit: Exponential and logarithmic functions Question M0-03-03 Given that \( x^2 + x^{-2} = 3 \) and \( x>0 \), find the value of \( x + x^{-1} \). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Exponential and logarithmic functions Question M0-03-02 Evaluate the following expression for \( a = 2 \) and \( b = 3 \): $$ \left( \frac{a^{1/2}b^{-1/3}}{a^{-3/4}b^{2/3}} \right)^{4} $$ # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Exponential and logarithmic functions Question M0-03-01 Simplify the following expression and express your answer with positive indices: $$ \sqrt[4]{a^{-3}\sqrt[3]{a^{-2}\sqrt{a^{-1}}}} $$ # More challenging questions will be updated # Answer