Question

(6x-5y/5r) * 5r^16/6x-5y

Answer 1

Ответ:

Объяснение:

[(6x-5y)/5r] * 5r^16/(6x-5y)=r^16/r=r^(16-1)=r^15

$(\frac{6x-5y}{5r})*\frac{5r^{16}}{6x-5y=\frac{r^{16}}{r}=r^{16-1}=r^{15}$

Answer 2

To simplify the expression $\frac{{6x - 5y}}{{5r}} \cdot \frac{{5r^{16}}}{{6x - 5y}}$, you can start by canceling out common factors in the numerator and denominator:

$\frac{{6x - 5y}}{{5r}} \cdot \frac{{5r^{16}}}{{6x - 5y}} = \frac{{(6x - 5y) \cdot (5r^{16})}}{{5r \cdot (6x - 5y)}}$

Now, you can see that you have a common factor of $(6x - 5y)$ in both the numerator and denominator. You can cancel this factor out:

$\frac{{\cancel{(6x - 5y)} \cdot (5r^{16})}}{{5r \cdot \cancel{(6x - 5y)}}}$

Now, you have:

$\frac{{5r^{16}}}{{5r}}$

Since $5r$ is a common factor in both the numerator and denominator, you can cancel it out as well:

$\frac{{\cancel{5r^{16}}}}{{\cancel{5r}}}$

This simplifies to:

$r^{16}$

So, the simplified expression is $r^{16}$.