Question

Which expression is equivalent to...​

Answer 1

Answer:

$\frac{y^{12} }{5}$

Step-by-step explanation:

1) Cancel $x^5$.

$\frac{9y^{16} }{45y^4}$

2) Take out the constants.

$\frac{9}{45} \times\frac{y^{16} }{y^4}$

3) Simplify $\frac{9}{45}$ to $\frac{1}{5}$.

$\frac{1}{5} \times\frac{y^{16} }{y^4}$

4) Simplify.

$\frac{y^{16} }{5y^4}$

5) Use Quotient Rule: Use Quotient Rule: $\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}$.

$\frac{{y}^{16-4}}{5}$

6)  Simplify $16-4$ to $12$.

$\frac{y^{12} }{5}$