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**Introduction**

**negative integral exponent**

**By what number should `(-8)^-1` be multiplied so that the product may be equal to `10^-1` ?**

**Decimal number system**

**First law If a is a non - zero rational number and `m n` are integers then `a^m a^n = a^(m+n)`**

**Second law If a is a non - zero rational number and `m n` are integers then `a^m -: a^n = a^(m-n) or a^m/a^n = a^(m-n)`**

**Third law If a is a non-zero rational number and `m n` are integers then `(a^m)^n = a^(mn) = (a^n)^m`**

**Fourth law If `a b` are non-zero rational numbers and n is integer then `(ab)^n = a^n b^n`**

**Fifth law If `a b` are non-zero rational numbers and n is an integer then `(a/b)^n = a^n/b^n`**

**Sixth law If `a b` are non-zero rational numbers and n is a positive integer then `(a/b)^-n = (b/a)^n`**