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

The solution to ((4x^7)/(6x))^2 is (4x^{12})/9

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simplify ((4x^7)/(6x))^2

simplify

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

\frac{4 x ^{12}}{9}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 4 x ^{7} ) ^{2}}{( 6 x ) ^{2}}

Simplify

(4 x^{7})^{2} : 16 x^{14}

= \frac{16 x ^{14}}{( 6 x ) ^{2}}

Simplify

(6 x)^{2} : 36 x^{2}

= \frac{16 x ^{14}}{36 x ^{2}}

Cancel the common factor:

4

= \frac{4 x ^{14}}{9 x ^{2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{14}}{x ^{2}} = x^{14 - 2}

= \frac{4 x ^{14 - 2}}{9}

Subtract the numbers:

14 - 2 = 12

= \frac{4 x ^{12}}{9}

x^{2} + 9 x y - 36 y^{2}

12 x - 15 = 6 x + 9

5 x^{2} + 25 x = 0

7 x^{2} = 21 x

\frac{- 6 + 3 x}{- 2} = - 4 - x