Question

Mr.Walden wrote the expression StartFraction p Superscript negative 5 Over q Superscript 0 EndFraction. He asked his students to write an equivalent expression of StartFraction p Superscript negative 5 Over q Superscript 0 EndFraction.

Four students wrote these expressions.

Isaac
Rosa
Bruce
Brianna

StartFraction q Superscript 0 Over p Superscript negative 5 EndFraction

p Superscript negative 5 + q Superscript 0

p Superscript 5 Baseline q Superscript 0

StartFraction 1 Over p Superscript 5 Baseline q Superscript 0 EndFraction

Which student wrote the correct equation that can be simplified to be equivalent to Mr. Walden’s equation?
Isaac
Rosa
Bruce
Brianna

Answer 1

Brianna.

Her expression 1/(p^5 q^0) = 1/(p^5·1) = 1/p^5, and p^{-5} = 1/p^5, so it matches p^{-5}/q^0.