Laws of exponentsIB MYP Maths Standard: Mind map

Exam questions on Laws of exponents

1. Let $x$ be any non-zero number.
   Write $\dfrac{x^5\times x^{-2}}{x^{-4}}$ as a single power of $x$.2 marks
2. Do not use a calculator in this question. Give each answer as an integer or a fraction in its simplest form.
   Find the value of $\left(\dfrac{2}{3}\right)^{-2}$.2 marks
3. Maya is simplifying algebraic expressions. All the letters represent non-zero numbers.
   Simplify $\dfrac{12a^5b^{-2}}{4a^2b}$. Write your answer with positive exponents only.3 marks