Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]
Remember, when a number has a negative power, it reciprocates (flips over)
First lets write the expression so that the a is in a fraction by itself:
[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]
So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:
[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]a^{5}[/tex]
=[tex]8a^{5}b[/tex]
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Answer:
[tex]8a^{5}b[/tex]
