What is (18x^7*x^{13})/((3x^{10))^2} ?

The solution to (18x^7*x^{13})/((3x^{10))^2} is 2

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simplify (18x^7*x^{13})/((3x^{10))^2}

simplify

\frac{18 x ^{7} \cdot x ^{13}}{( 3 x ^{10} ) ^{2}}

2

Solution steps

\frac{18 x ^{7} x ^{13}}{( 3 x ^{10} ) ^{2}}

Simplify

(3 x^{10})^{2} : 3^{2} x^{20}

= \frac{18 x ^{7} x ^{13}}{3 ^{2} x ^{20}}

Factor

18 : 3^{2} \cdot 2

= \frac{3 ^{2} \cdot 2 x ^{7} x ^{13}}{3 ^{2} x ^{20}}

Cancel the common factor:

3^{2}

= \frac{2 x ^{7} x ^{13}}{x ^{20}}

Simplify

\frac{x ^{7}}{x ^{20}} : \frac{1}{x ^{13}}

= \frac{2 x ^{13}}{x ^{13}}

Cancel the common factor:

x^{13}

= 2

(5 p - 3 q)^{2}

\frac{( x ^{2} - 49 )}{( x - 7 )}

(2 x + 3 y - 4)^{2}

\frac{( 4 r ^{6} - 100 r ^{3} )}{( 24 r ^{3} + 288 r ^{2} + 840 r )}

(\frac{k}{l})^{\frac{1}{2}}

What is (18x^7*x^{13})/((3x^{10))^2} ?
The solution to (18x^7*x^{13})/((3x^{10))^2} is 2