What is simplify (((12x^4y^{-1}6)^2((3x^{-1}2y^5)^3)))/((36x^{-1)4)} ?

The solution to simplify (((12x^4y^{-1}6)^2((3x^{-1}2y^5)^3)))/((36x^{-1)4)} is 7776x^6y^{13}

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Simplify ((12x^4y^-16)^2((3x^-12y^5)^3))/(36x^-14)

simplify

\frac{( ( 12 x ^{4} y ^{- 1} 6 ) ^{2} ( ( 3 x ^{- 1} 2 y ^{5} ) ^{3} ) )}{( 36 x ^{- 1} 4 )}

7776 x^{6} y^{13}

Solution steps

\frac{( 12 x ^{4} y ^{- 1} \cdot 6 ) ^{2} ( ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3} )}{36 x ^{- 1} \cdot 4}

Apply rule:

(a) = a

((3 x^{- 1} \cdot 2 y^{5})^{3}) = (3 x^{- 1} \cdot 2 y^{5})^{3}

= \frac{( 12 x ^{4} y ^{- 1} \cdot 6 ) ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{36 x ^{- 1} \cdot 4}

Simplify

(12 x^{4} y^{- 1} \cdot 6)^{2} : 1 2^{2} x^{8} \frac{1}{y ^{2}} \cdot 6^{2}

= \frac{1 2 ^{2} x ^{8} \frac{1}{y ^{2}} \cdot 6 ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{36 x ^{- 1} \cdot 4}

Factor the number:

36 = 12 \cdot 3

= \frac{1 2 ^{2} x ^{8} \frac{1}{y ^{2}} \cdot 6 ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{12 \cdot 3 x ^{- 1} \cdot 4}

\frac{1 2 ^{2}}{12} = 12

= \frac{12 x ^{8} \frac{1}{y ^{2}} \cdot 6 ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{3 x ^{- 1} \cdot 4}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 x ^{8} \frac{1}{y ^{2}} \cdot 6 ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{3 x ^{- 1} \cdot 4}

Cancel the common factor:

3

= \frac{4 x ^{8} \frac{1}{y ^{2}} \cdot 6 ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{x ^{- 1} \cdot 4}

Cancel the common factor:

4

= \frac{x ^{8} \frac{1}{y ^{2}} \cdot 6 ^{2} ( 3 x ^{- 1} \cdot 2 y ^{5} ) ^{3}}{x ^{- 1}}

Simplify

\frac{x ^{8}}{x ^{- 1}} : x^{9}

= x^{9} \frac{1}{y ^{2}} \cdot 6^{2} (3 x^{- 1} \cdot 2 y^{5})^{3}

Simplify

x^{9} \frac{1}{y ^{2}} \cdot 6^{2} (3 x^{- 1} \cdot 2 y^{5})^{3} : 7776 x^{6} y^{13}

= 7776 x^{6} y^{13}

t, \frac{1}{3} t = - t + \frac{2}{3} t - 1

q, 3 - q = \frac{3}{4} + \frac{3}{2} q

3.75%

\frac{( 3 x ^{4} - 2 x ^{3} - 10 x ^{2} + 15 )}{( x - 2 )}

x, \frac{1}{3} x = 9

What is simplify (((12x^4y^{-1}6)^2((3x^{-1}2y^5)^3)))/((36x^{-1)4)} ?
The solution to simplify (((12x^4y^{-1}6)^2((3x^{-1}2y^5)^3)))/((36x^{-1)4)} is 7776x^6y^{13}