What is ((12x^2y^6)^2)/(8x^4y^7) ?

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

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simplify ((12x^2y^6)^2)/(8x^4y^7)

simplify

\frac{( 12 x ^{2} y ^{6} ) ^{2}}{8 x ^{4} y ^{7}}

18 y^{5}

Solution steps

\frac{( 12 x ^{2} y ^{6} ) ^{2}}{8 x ^{4} y ^{7}}

Simplify

(12 x^{2} y^{6})^{2} : 144 x^{4} y^{12}

= \frac{144 x ^{4} y ^{12}}{8 x ^{4} y ^{7}}

Cancel the common factor:

x^{4}

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

Factor the number:

144 = 8 \cdot 18

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

Cancel the common factor:

8

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

Simplify

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

= 18 y^{5}

3 x \cdot 5 x = 5

- 130 = - 5 k

x^{2} = 3 x - 7

- 12 \leq 4 - 3 x^{5} \leq 14

x \geq 6 - x

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