simplify (14x^4y^6)/(7x^8y^2) — step-by-step solution

The original denominator must be nonzero:

7 x^{8} y^{2}

≠ 0

Let's reduce:

\frac{14 x^{4} y^{6}}{7 x^{8} y^{2}}

The fraction:

\frac{x^{4}}{x^{8}}

simplifies by the common factor:

x^{4}

into the new fraction:

\frac{1}{x^{4}}

We simplify the fraction:

\frac{y^{6}}{y^{2}}

by the common factor:

y^{2}

to get the new expression:

y^{4}

\frac{14 y^{4}}{7 x^{4}}

ⓘ A fraction is simplified by dividing the numerator and the denominator by the same number:

\frac{14 y^{4}}{7 x^{4}}

\frac{2 y^{4}}{x^{4}}

▶Simplified form:

\frac{2 y^{4}}{x^{4}}