What is ((81x+6)^{27})/(2187) ?

The solution to ((81x+6)^{27})/(2187) is 3^{20}(27x+2)^{27}

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simplify ((81x+6)^{27})/(2187)

simplify

\frac{( 81 x + 6 ) ^{27}}{2187}

3^{20} (27 x + 2)^{27}

Solution steps

\frac{( 81 x + 6 ) ^{27}}{2187}

Factor

(81 x + 6)^{27} : 3^{27} (27 x + 2)^{27}

= \frac{3 ^{27} ( 27 x + 2 ) ^{27}}{2187}

Factor the number:

2187 = 3^{7}

= \frac{3 ^{27} ( 27 x + 2 ) ^{27}}{3 ^{7}}

\frac{3 ^{27}}{3 ^{7}} = 3^{20}

= 3^{20} (27 x + 2)^{27}

\frac{125 - 10 x ^{2}}{( x ^{2} + 25 ) ^{\frac{5}{2}}}

\frac{x ^{2} + 2 x + 12}{( x - 1 ) ( x + 1 )}

\frac{2 x - 3}{2 ( 2 x + 3 )}

2 (x (x - 1) (x - 2))

\frac{4}{3 ( 2 x - 1 ) ^{2}}

What is ((81x+6)^{27})/(2187) ?
The solution to ((81x+6)^{27})/(2187) is 3^{20}(27x+2)^{27}