# How do you simplify \frac { 2x y ^ { 0} } { 3x ^ { 5} }?

##### 2 Answers
Mar 29, 2018

$\frac{2}{3 {x}^{4}}$

#### Explanation:

First ${y}^{0} = 1$ as anything to the power of 0 is 1

So it looks more like $\frac{2 x}{3 {x}^{5}}$

When we divide exponets they subtract so $\frac{x}{x} ^ 5 = {x}^{1 - 5} = {x}^{-} 4 = \frac{1}{x} ^ 4$

So it is merely $\frac{2}{3 {x}^{4}}$

Mar 29, 2018

(2xy^0)/(3x^5)=color(blue)(2/(3x^4)

#### Explanation:

Simplify:

$\frac{2 x {y}^{0}}{3 {x}^{5}}$

Apply the zero exponent rule: ${a}^{0} = 1$

Simplify ${y}^{0}$ to $1$.

$\frac{2 x \times 1}{3 {x}^{5}}$

$\frac{2 x}{3 {x}^{5}}$

Apply quotient exponent rule: ${a}^{m} / {a}^{n} = {a}^{m - n}$

$\frac{2 {x}^{1 - 5}}{3}$

Simplify.

$\frac{2 {x}^{- 4}}{3}$

Apply negative exponent rule: ${a}^{- m} = \frac{1}{{a}^{m}}$

$\frac{2}{3 {x}^{4}}$