**LAWS OF INDICES:**- a
^{m}x 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}) - a
^{0 = 1}

- a
**SURDS:**Let a be a rational number and n be a positive integer such that a1/n = nsqrt(a) is irrational. Then nsqrt(a) is called a surd of order n.**LAWS OF SURDS:**^{ n}√a = a^{1/2}-
^{n}√ab =^{n}√a *^{n}√b -
^{n}√a/b =^{n}√a /^{n}√b - (
^{n}√a)^{n}= a -
^{m}√(^{n}√(a)) =^{mn}√(a) **(**^{n}√a)^{m}=^{n}√a^{m}