[tex]a^{9} b^{6}[/tex] expression is equivalent to [tex](\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}[/tex].
What is expression?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given expression
[tex](\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}[/tex]
= [tex]\frac{(a^{-8} )^{-3} b^{-3} }{(a^{-5})^{-3}(b^{3} )^{-3} }[/tex]
= [tex]\frac{a^{24}b^{-3} }{a^{15} b^{-9} }[/tex]
= [tex]a^{24} a^{-15} b^{-3} b^{9}[/tex]
= [tex]a^{9} b^{6}[/tex]
Option A is correct
[tex]a^{9} b^{6}[/tex] expression is equivalent to [tex](\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}[/tex].
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