The Laws of Indices (Junior Cert Mathematics): Flashcards

How many times to multiply a number by itself

$a^{p+q}$ (add the powers)

$a^{p-q}$ (subtract powers)

$a^{p \times q}$ (multiply powers)

$1$ (any number to power zero equals 1)

$\frac{1}{a^p}$ (reciprocal with positive power)

$\sqrt[q]{a}$ (fractional power is a root)

$a^p \times b^p$ (raise each factor to the power)

$\frac{a^p}{b^p}$ (raise top and bottom to power)

Base must be the same

Take reciprocal, not a negative number

Square root of $a$