What is 27^{2/3}*27^{1/3}-(y^3)^{3y}*27^{-4}3 ?

The solution to 27^{2/3}*27^{1/3}-(y^3)^{3y}*27^{-4}3 is 27-(y^{9y})/(177147)

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simplify 27^{2/3}27^{1/3}-(y^3)^{3y}27^{-4}3

simplify

2 7^{\frac{2}{3}} \cdot 2 7^{\frac{1}{3}} - (y^{3})^{3 y} \cdot 2 7^{- 4} 3

27 - \frac{y ^{9 y}}{177147}

Solution steps

2 7^{\frac{2}{3}} \cdot 2 7^{\frac{1}{3}} - (y^{3})^{3 y} \cdot 2 7^{- 4} \cdot 3

2 7^{\frac{2}{3}} \cdot 2 7^{\frac{1}{3}} = 27

(y^{3})^{3 y} \cdot 2 7^{- 4} \cdot 3 = y^{9 y} \frac{1}{531441} \cdot 3

= 27 - y^{9 y} \frac{1}{531441} \cdot 3

Simplify

y^{9 y} \frac{1}{531441} \cdot 3 : \frac{y ^{9 y}}{177147}

= 27 - \frac{y ^{9 y}}{177147}

- 3 (2 a^{3} b^{4})^{2} a^{2}

12 y^{5} + 10 y^{4} - 8 y^{6}

4 \frac{x ^{2}}{9} - \frac{1}{25}

(\frac{1}{x} - \frac{1}{y}) (\frac{1}{x} + \frac{1}{y}) (\frac{x}{y} - \frac{y}{x})

(7 a + b)^{3}

What is 27^{2/3}*27^{1/3}-(y^3)^{3y}*27^{-4}3 ?
The solution to 27^{2/3}*27^{1/3}-(y^3)^{3y}*27^{-4}3 is 27-(y^{9y})/(177147)