# How do you simplify \frac { 8y ^ { 6} } { 40y ^ { 2} }?

Aug 2, 2018

${y}^{4} / 5$

#### Explanation:

We can rewrite this as

$\frac{8}{40} \cdot {y}^{6} / {y}^{2}$

When we divide exponents of the same base, we subtract the exponents. Thus, this simplifies to

${y}^{4} / 5$

Hope this helps!

Aug 2, 2018

color(blue)(=> y^4 / 5

#### Explanation:

$\text{According to theory of indices,} {a}^{m} / {a}^{n} = {a}^{m - n}$

$\text{Given } \frac{8 {y}^{6}}{40 {y}^{2}}$

$\implies \frac{\cancel{8} {y}^{6}}{{\cancel{40}}^{\textcolor{red}{5}} {y}^{2}}$

$\implies {y}^{6} / \left(5 {y}^{2}\right)$

$\implies \frac{{y}^{6} / {y}^{2}}{5} = \frac{{y}^{6 - 2}}{5}$

$\implies {y}^{4} / 5$