Question

Which expression is equivalent to 9x^5y^16/45x^5y^4

Answer 1

Answer:

An equivalent expression to the given expression  $\frac{9x^5y^{16}}{45x^5y^4}$ is $\frac{y^{12}}{5}$

Step-by-step explanation:

Given :  Expression $\frac{9x^5y^{16}}{45x^5y^4}$

We have to find an equivalent expression to the given expression  $\frac{9x^5y^{16}}{45x^5y^4}$

Consider the given expression  $\frac{9x^5y^{16}}{45x^5y^4}$

Cancel the common factor 9, we have,

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

Cancel the common factor $x^5$, we have,

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

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}$

We have, $\frac{y^{16}}{y^4}=y^{16-4}=y^{12}$

Thus, we get,

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

Thus, An equivalent expression to the given expression  $\frac{9x^5y^{16}}{45x^5y^4}$ is $\frac{y^{12}}{5}$

Answer 2

Not sure i know what equivalent but i know the answer which is y^12/5.