What is (14x^8y^6)/(21x^8y^2) ?

The solution to (14x^8y^6)/(21x^8y^2) is (2y^4)/3

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simplify (14x^8y^6)/(21x^8y^2)

simplify

\frac{14 x ^{8} y ^{6}}{21 x ^{8} y ^{2}}

\frac{2 y ^{4}}{3}

Solution steps

\frac{14 x ^{8} y ^{6}}{21 x ^{8} y ^{2}}

Cancel the common factor:

x^{8}

= \frac{14 y ^{6}}{21 y ^{2}}

Factor the number:

14 = 7 \cdot 2

= \frac{7 \cdot 2 y ^{6}}{21 y ^{2}}

Factor the number:

21 = 7 \cdot 3

= \frac{7 \cdot 2 y ^{6}}{7 \cdot 3 y ^{2}}

Cancel the common factor:

7

= \frac{2 y ^{6}}{3 y ^{2}}

Simplify

\frac{y ^{6}}{y ^{2}} : y^{4}

= \frac{2 y ^{4}}{3}

5^{2} (- 10)^{- 4}

\frac{3}{5} \times \frac{5}{9}

4 \times \frac{3}{8}

2 x^{2}

(2 y + 3)^{3}

What is (14x^8y^6)/(21x^8y^2) ?
The solution to (14x^8y^6)/(21x^8y^2) is (2y^4)/3