What is ((3x^7)/(x^3y^3))^3 ?

The solution to ((3x^7)/(x^3y^3))^3 is (27x^{12})/(y^9)

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simplify ((3x^7)/(x^3y^3))^3

simplify

(\frac{3 x ^{7}}{x ^{3} y ^{3}})^{3}

\frac{27 x ^{12}}{y ^{9}}

Solution steps

(\frac{3 x ^{7}}{x ^{3} y ^{3}})^{3}

Apply exponent rule:

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

= \frac{( 3 x ^{7} ) ^{3}}{( x ^{3} y ^{3} ) ^{3}}

Simplify

(3 x^{7})^{3} : 27 x^{21}

= \frac{27 x ^{21}}{( x ^{3} y ^{3} ) ^{3}}

Simplify

(x^{3} y^{3})^{3} : x^{9} y^{9}

= \frac{27 x ^{21}}{x ^{9} y ^{9}}

Apply exponent rule:

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

\frac{x ^{21}}{x ^{9}} = x^{21 - 9}

= \frac{27 x ^{21 - 9}}{y ^{9}}

Subtract the numbers:

21 - 9 = 12

= \frac{27 x ^{12}}{y ^{9}}

(\frac{1}{27})^{- \frac{4}{3}}

∣ 3 x + 1 ∣ = 6

- 21 x + 1 > 22

2 x + 20 = 3 x + 10

- 3 (y + 4) - 2 y = 2 (y + 1)

What is ((3x^7)/(x^3y^3))^3 ?
The solution to ((3x^7)/(x^3y^3))^3 is (27x^{12})/(y^9)