What is ((12m^2n^6)^2)/(8m^4n^7) ?

The solution to ((12m^2n^6)^2)/(8m^4n^7) is 18n^5

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simplify ((12m^2n^6)^2)/(8m^4n^7)

simplify

\frac{( 12 m ^{2} n ^{6} ) ^{2}}{8 m ^{4} n ^{7}}

18 n^{5}

Solution steps

\frac{( 12 m ^{2} n ^{6} ) ^{2}}{8 m ^{4} n ^{7}}

Simplify

(12 m^{2} n^{6})^{2} : 144 m^{4} n^{12}

= \frac{144 m ^{4} n ^{12}}{8 m ^{4} n ^{7}}

Cancel the common factor:

m^{4}

= \frac{144 n ^{12}}{8 n ^{7}}

Factor the number:

144 = 8 \cdot 18

= \frac{8 \cdot 18 n ^{12}}{8 n ^{7}}

Cancel the common factor:

8

= \frac{18 n ^{12}}{n ^{7}}

Simplify

\frac{n ^{12}}{n ^{7}} : n^{5}

= 18 n^{5}

csc (x) sec (x)

32 + 23

\frac{x ^{3} - 4 x ^{2}}{4 x ^{3}}

(- a - b)^{3}

5 x \cdot x + 3

What is ((12m^2n^6)^2)/(8m^4n^7) ?
The solution to ((12m^2n^6)^2)/(8m^4n^7) is 18n^5