Question

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

Answer 1

Answer:

a) $\frac{72x^5}{9x^7}$

b) $=\frac{8}{x^2}$

c), Yes;$8x^2$

Step-by-step explanation:

Michael's Weight: $72x^5$

Al's weight: $9x^7$

a) Ratio of Michael's weight to Al's weight: $\frac{72x^5}{9x^7}$

b) This ratio simplifies to:  $\frac{8\times 9x^5}{9x^5\timesx^2}$

                                         $=\frac{8}{x^2}$

c) Yes, If the exponent in each expression were negative, then we have:

Ratio of Michael's weight to Al's weight: $\frac{72x^{-5}}{9x^{-7}}$

This ratio simplifies to:  $8x^{-5--7}=8x^2$

The two ratios are not the same.