What is (24m^8n^5)/((-m^2n)^3+5m^6n^3)*(-3mn^4)^2 ?

The solution to (24m^8n^5)/((-m^2n)^3+5m^6n^3)*(-3mn^4)^2 is 54m^4n^{10}

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simplify (24m^8n^5)/((-m^2n)^3+5m^6n^3)*(-3mn^4)^2

simplify

\frac{24 m ^{8} n ^{5}}{( - m ^{2} n ) ^{3} + 5 m ^{6} n ^{3}} \cdot (- 3 m n^{4})^{2}

54 m^{4} n^{10}

Solution steps

\frac{24 m ^{8} n ^{5}}{( - m ^{2} n ) ^{3} + 5 m ^{6} n ^{3}} (- 3 m n^{4})^{2}

Simplify

(- 3 m n^{4})^{2} : 9 m^{2} n^{8}

= \frac{24 m ^{8} n ^{5}}{( - m ^{2} n ) ^{3} + 5 m ^{6} n ^{3}} \cdot 9 m^{2} n^{8}

Cancel

\frac{24 m ^{8} n ^{5}}{( - m ^{2} n ) ^{3} + 5 m ^{6} n ^{3}} : 6 m^{2} n^{2}

= 6 m^{2} n^{2} \cdot 9 m^{2} n^{8}

Multiply the numbers:

6 \cdot 9 = 54

= 54 m^{2} n^{2} m^{2} n^{8}

Simplify

m^{2} m^{2} : m^{4}

= 54 m^{4} n^{2} n^{8}

Simplify

n^{2} n^{8} : n^{10}

= 54 m^{4} n^{10}

3 x + 6 \leq 42

5 x^{2} - 2 x = 4

5 x + 4 - 6 x = 7 - x - 3

∣ 3 x - 1 ∣ = 6

3 (x + 6)^{2} = 75

What is (24m^8n^5)/((-m^2n)^3+5m^6n^3)*(-3mn^4)^2 ?
The solution to (24m^8n^5)/((-m^2n)^3+5m^6n^3)*(-3mn^4)^2 is 54m^4n^{10}