Question

Practice Worksheet 2 Question 1: Find x so that \((-5)^{x+1} \times (-5)^5 = (-5)^7\) Question 2: Simplify \((i) 3^{-2} \times 4^{-2} \)^{-3} \qquad (ii) \left(\frac{2}{3}\right)^5 \times \left(\frac{2}{3}\right)^{-2}\) Question 3: Solve the following equation & find the value of m in \(2^{m-3} = 1\). Question 4: Solve the following equation & find the value of m in \(3^m = \frac{1}{9}\). Question 5: Evaluate \(\frac{a^{-3}b^{-1}}{a^2b^{-3}}\).

          Practice Worksheet 2
Question 1: Find x so that \((-5)^{x+1} \times (-5)^5 = (-5)^7\)
Question 2:
Simplify \((i) 3^{-2} \times 4^{-2} \)^{-3} \qquad (ii) \left(\frac{2}{3}\right)^5 \times \left(\frac{2}{3}\right)^{-2}\)
Question 3:
Solve the following equation & find the value of m in \(2^{m-3} = 1\).
Question 4:
Solve the following equation & find the value of m in \(3^m = \frac{1}{9}\).
Question 5:
Evaluate \(\frac{a^{-3}b^{-1}}{a^2b^{-3}}\).