# Law of Indices

**Law of Indices (Question)**

By using the law of index, simplify the following expressions.

- a
^{2}* a^{3} - a
^{10}/a^{3} - (a
^{5})^{3} - (3a)
^{2} - (ab)
^{10}

*Guide: *

*a ^{x} * a^{y} = a^{x+y}*

a^{x} / a^{y} = a^{x-y}

(a^{x})^{y} = a^{x*y}

(ab)^{x} = a^{x}b^{x}

(a/b)^{x} = a^{x}/b^{x} ,where b is not equal 0

**Law of Indices (Answer)**

- a
^{5} - a
^{7} - a
^{8} - 9a
^{2} - a
^{10}b^{10}

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