What is (14x^7y^5)/(21xy^4) ?

The solution to (14x^7y^5)/(21xy^4) is (2x^6y)/3

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simplify (14x^7y^5)/(21xy^4)

simplify

\frac{14 x ^{7} y ^{5}}{21 x y ^{4}}

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

Solution steps

\frac{14 x ^{7} y ^{5}}{21 x y ^{4}}

Factor the number:

14 = 7 \cdot 2

= \frac{7 \cdot 2 x ^{7} y ^{5}}{21 x y ^{4}}

Factor the number:

21 = 7 \cdot 3

= \frac{7 \cdot 2 x ^{7} y ^{5}}{7 \cdot 3 x y ^{4}}

Cancel the common factor:

7

= \frac{2 x ^{7} y ^{5}}{3 x y ^{4}}

Simplify

\frac{x ^{7}}{x} : x^{6}

= \frac{2 x ^{6} y ^{5}}{3 y ^{4}}

Simplify

\frac{y ^{5}}{y ^{4}} : y

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

\frac{10}{- 4}

4 \times \frac{4}{3}

16 x + 15 x^{2} - 15

9 a^{2} - 49

(- 2 - i^{4}) + (10 + i)