What is (314^{162})/(162) ?

The solution to (314^{162})/(162) is (2^{161}*157^{162})/(81)

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simplify (314^{162})/(162)

simplify

\frac{31 4 ^{162}}{162}

\frac{2 ^{161} \cdot 15 7 ^{162}}{81}

Solution steps

\frac{31 4 ^{162}}{162}

Factor

31 4^{162} : 2^{162} \cdot 15 7^{162}

= \frac{2 ^{162} \cdot 15 7 ^{162}}{162}

Factor the number:

162 = 2 \cdot 81

= \frac{2 ^{162} \cdot 15 7 ^{162}}{2 \cdot 81}

\frac{2 ^{162}}{2} = 2^{161}

= \frac{2 ^{161} \cdot 15 7 ^{162}}{81}

\frac{7}{3} - \frac{4}{3}

\frac{512}{2}

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

\frac{2}{x + 1} - \frac{2 x}{x - 1}

(2 x - 3) - (x - 6)

What is (314^{162})/(162) ?
The solution to (314^{162})/(162) is (2^{161}*157^{162})/(81)