Michael’s weight can be represented by the expression 72x^5. Al’s weight can be represented by the expression 9x^7.

(a) What is the ratio of Michael’s weight to Al’s weight?

Answer:

(b) Simplify the ratio from part a.

Answer:

(c) If the exponents in each expression were negative, instead of positive, would that change your answer for part b? Explain why or why not.

Answer:

Michaels weight can be represented by the expression 72x5 Als weight can be represented by the expression 9x7 a What is the ratio of Michaels weight to Als weig class=

Respuesta :

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.