The correct simplification of the expression 8 times b all over a to the power of negative 5 is [tex]8ba^{5}[/tex].
According to the given question.
We have a word phrase
" 8 times b all over a to the power of negative 5".
The algebraic expression for the above axpression is given by
8b/(a^-5)
From the exponent law we know that
x^(-m) = 1/x
Therefore,
The above expression 8b/(a^-5) can be written as
[tex]\frac{8b}{\frac{1}{a^{5} } }[/tex]
= [tex]8ba^{5}[/tex]
Therefore, the correct simplification of the expression 8 times b all over a to the power of negative 5 is [tex]8ba^{5}[/tex].
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