Simplifying Expressions Using Advanced Index Laws

Simplifying Expressions Using Advanced Index Laws

Secondary 3

Simplify each of the following.

  1. \({{\left( \frac{{{p}^{3}}}{q} \right)}^{4}}\times {{\left( \frac{3{{q}^{4}}}{{{p}^{3}}} \right)}^{2}}\)
  2. \(\frac{{{(2{{x}^{5}}{{y}^{4}})}^{2}}}{2{{x}^{8}}{{y}^{2}}}\)
  3. \({{(-2{{q}^{4}}{{p}^{3}})}^{3}}\div {{(4{{q}^{5}}{{p}^{3}})}^{2}}\)
  4. \(2{{a}^{\frac{1}{4}}}{{b}^{\frac{1}{3}}}\div {{(5a)}^{-2}}\times {{b}^{-\frac{2}{3}}}\)

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs a course plan.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Answer:(i) \(9p^6q^4\). (ii) \(2x^2y^6\). (iii) \(-\frac12q^2p^3\). (iv) \(\frac{50a^{9/4}}{b^{1/3}}\).

Need help? Join our E-Maths tuition for O-Level success.

Learn more