What is (7mn^4p^5)/(21m^3np^7) ?

The solution to (7mn^4p^5)/(21m^3np^7) is (n^3)/(3m^2p^2)

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simplify (7mn^4p^5)/(21m^3np^7)

simplify

\frac{7 m n ^{4} p ^{5}}{21 m ^{3} n p ^{7}}

\frac{n ^{3}}{3 m ^{2} p ^{2}}

Solution steps

\frac{7 m n ^{4} p ^{5}}{21 m ^{3} n p ^{7}}

Factor the number:

21 = 7 \cdot 3

= \frac{7 m n ^{4} p ^{5}}{7 \cdot 3 m ^{3} n p ^{7}}

Cancel the common factor:

7

= \frac{m n ^{4} p ^{5}}{3 m ^{3} n p ^{7}}

Simplify

\frac{n ^{4}}{n} : n^{3}

= \frac{m n ^{3} p ^{5}}{3 m ^{3} p ^{7}}

Simplify

\frac{m}{m ^{3}} : \frac{1}{m ^{2}}

= \frac{n ^{3} p ^{5}}{3 m ^{2} p ^{7}}

Simplify

\frac{p ^{5}}{p ^{7}} : \frac{1}{p ^{2}}

= \frac{n ^{3}}{3 m ^{2} p ^{2}}

(- 2 i) (5 i^{2}) (- 5 i)

\frac{1}{( \frac{1 - x}{x} ) + 1}

\frac{\frac{1}{x - 1}}{\frac{1}{x ^{2} + 1}}

\frac{\frac{4}{9} + \frac{5}{6}}{\frac{3}{5}}

What is (7mn^4p^5)/(21m^3np^7) ?
The solution to (7mn^4p^5)/(21m^3np^7) is (n^3)/(3m^2p^2)