Practice Questions on Surds and Indice

Laws of Indices:

a ^m * a ⁿ = a ^(m+n)
a ^m /a ⁿ = a ^m-n
(a ^m ) ⁿ = a ^mn
(ab) ⁿ = a ⁿ * b ⁿ
(a/b) ⁿ = a ⁿ /b ⁿ
a⁰ = 1

Surds:

Let a be rational number and n be a positive integer such that a^(1/n) = nth root of a (n(a)
Then, na is called a surd of order n.

Laws of Surds:

na = a ^1/n
nab = na * nb
na/b =na / nb
(na) ⁿ = a
mth root of (nth root of a) = mna = (m*n)a
(na ) ^m = na ^m )