Laws of indices - EduqasRaising a power to a power
Using indices, we can show a number times itself many times or as another way of writing a square or cube root. Indices make complex calculations that involve powers easier.
simplifyA fraction is simplified when there are no more common factors shared by the numerator and denominator. For example, the fraction 8/10 simplifies to 4/5 by dividing the numerator and denominator by the common factor of 2.\((k^3)^2\).
This means that \(k^3\) is to be squared, or multiplied by \(k^3\) again: \((k^3)^2 = k^3 \times k^3\)
Add the powers together, so \((k^3)^2 = k^3 \times k^3 = k^6\), so \((k^3)^2\) can be simplified to \(k^6\).