The simplified expression are as follows:
[tex](24m^{-2}n )(\frac{1}{4}mn ) =6m^{-1} n^{2}[/tex]
[tex](4a^{-2} )^{4} =4a^{-8}[/tex]
[tex](9ab^{-5} )^{-2} =9ab^{10}[/tex]
How to simplify an expression?
The expression can be simplified as follows;
using law of indices,
[tex](a^{x} )^{y} = a^{xy}[/tex]
Therefore,
[tex](24m^{-2}n )(\frac{1}{4}mn ) = \frac{24}{4} m^{-2+1} n^{1+1} =6m^{-1} n^{2}[/tex]
[tex](4a^{-2} )^{4} =4a^{-8}[/tex]
[tex](9ab^{-5} )^{-2} =9ab^{10}[/tex]
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