What is (18x^2sqrt(14x^8))/(6sqrt(7x^4)) ?

The solution to (18x^2sqrt(14x^8))/(6sqrt(7x^4)) is 3sqrt(2)x^4

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simplify (18x^2sqrt(14x^8))/(6sqrt(7x^4))

simplify

\frac{18 x ^{2} 14 x ^{8}}{6 7 x ^{4}}

32 x^{4}

Solution steps

\frac{18 x ^{2} 14 x ^{8}}{6 7 x ^{4}}

Simplify

7 x^{4} : 7 x^{2}

= \frac{18 x ^{2} 14 x ^{8}}{6 7 x ^{2}}

Cancel the common factor:

x^{2}

= \frac{18 14 x ^{8}}{6 7}

Factor the number:

18 = 6 \cdot 3

= \frac{6 \cdot 3 14 x ^{8}}{6 7}

Cancel the common factor:

6

= \frac{3 14 x ^{8}}{7}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

14 x^{8} = 14 x^{8}

= \frac{3 14 x ^{8}}{7}

Factor

14 : 72

= \frac{3 7 2 x ^{8}}{7}

Cancel the common factor:

7

= 32 x^{8}

x^{8} = x^{4}

= 32 x^{4}

(3 a x - 1)^{2}

\frac{9}{18} + \frac{2}{14}

\frac{22 w + 11}{8 w ^{2} - 6 w} - \frac{3}{2 w}

\frac{5 ^{3}}{5 ^{7}}

\frac{m + 4 + \frac{3}{m}}{m - 4 - \frac{5}{m}}

What is (18x^2sqrt(14x^8))/(6sqrt(7x^4)) ?
The solution to (18x^2sqrt(14x^8))/(6sqrt(7x^4)) is 3sqrt(2)x^4