Answer:
a) [tex]\frac{72x^5}{9x^7}[/tex]
b) [tex]=\frac{8}{x^2}[/tex]
c), Yes;[tex]8x^2[/tex]
Step-by-step explanation:
Michael's Weight: [tex]72x^5[/tex]
Al's weight: [tex]9x^7[/tex]
a) Ratio of Michael's weight to Al's weight: [tex]\frac{72x^5}{9x^7}[/tex]
b) This ratio simplifies to: [tex]\frac{8\times 9x^5}{9x^5\timesx^2}[/tex]
[tex]=\frac{8}{x^2}[/tex]
c) Yes, If the exponent in each expression were negative, then we have:
Ratio of Michael's weight to Al's weight: [tex]\frac{72x^{-5}}{9x^{-7}}[/tex]
This ratio simplifies to: [tex]8x^{-5--7}=8x^2[/tex]
The two ratios are not the same.