Choose the correct simplification of the expression 8 times b all over a to the power of negative 5. a to the 5th power times b all over 8 8 over a to the 5th power times b 8a5b already simplified

Respuesta :

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].

Find out more information about expression here:

https://brainly.com/question/6140204

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