What is (((3x^2)^3*(3y)))/(((3x)^3*(3x)^2)) ?

The solution to (((3x^2)^3*(3y)))/(((3x)^3*(3x)^2)) is (xy)/3

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simplify (((3x^2)^3(3y)))/(((3x)^3(3x)^2))

simplify

\frac{( ( 3 x ^{2} ) ^{3} \cdot ( 3 y ) )}{( ( 3 x ) ^{3} \cdot ( 3 x ) ^{2} )}

\frac{x y}{3}

Solution steps

\frac{( 3 x ^{2} ) ^{3} ( 3 y )}{( 3 x ) ^{3} ( 3 x ) ^{2}}

Simplify

(3 x^{2})^{3} : 3^{3} x^{6}

= \frac{3 ^{3} x ^{6} \cdot 3 y}{( 3 x ) ^{3} ( 3 x ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 x)^{3} = 3^{3} x^{3}

= \frac{3 ^{3} x ^{6} \cdot 3 y}{3 ^{3} x ^{3} ( 3 x ) ^{2}}

Cancel the common factor:

3^{3}

= \frac{x ^{6} \cdot 3 y}{x ^{3} ( 3 x ) ^{2}}

Simplify

\frac{x ^{6}}{x ^{3}} : x^{3}

= \frac{x ^{3} \cdot 3 y}{( 3 x ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 x)^{2} = 3^{2} x^{2}

= \frac{x ^{3} \cdot 3 y}{3 ^{2} x ^{2}}

\frac{3}{3 ^{2}} = \frac{1}{3}

= \frac{x ^{3} y}{3 x ^{2}}

Simplify

\frac{x ^{3}}{x ^{2}} : x

= \frac{x y}{3}

f (x + 4)

\frac{3}{8} \cdot \frac{x}{( \frac{100}{1} )}

e^{y} - e^{0}

l^{- 1} \cdot {\frac{( 3 s + 1 )}{( s ^{2} \cdot ( s ^{2} + 4 ) )}}

(1 0^{a})^{2}

What is (((3x^2)^3*(3y)))/(((3x)^3*(3x)^2)) ?
The solution to (((3x^2)^3*(3y)))/(((3x)^3*(3x)^2)) is (xy)/3