What is (2x^{-7}y^6z^3)(3x)^3 ?

The solution to (2x^{-7}y^6z^3)(3x)^3 is (54y^6z^3)/(x^4)

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simplify (2x^{-7}y^6z^3)(3x)^3

simplify

(2 x^{- 7} y^{6} z^{3}) (3 x)^{3}

\frac{54 y ^{6} z ^{3}}{x ^{4}}

Solution steps

(2 x^{- 7} y^{6} z^{3}) (3 x)^{3}

Simplify

2 x^{- 7} y^{6} z^{3} : \frac{2 y ^{6} z ^{3}}{x ^{7}}

= \frac{2 y ^{6} z ^{3}}{x ^{7}} (3 x)^{3}

Simplify

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

= \frac{2 y ^{6} z ^{3}}{x ^{7}} \cdot 27 x^{3}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 y ^{6} z ^{3} \cdot 27 x ^{3}}{x ^{7}}

Simplify

\frac{x ^{3}}{x ^{7}} : \frac{1}{x ^{4}}

= \frac{2 y ^{6} z ^{3} \cdot 27}{x ^{4}}

Multiply the numbers:

2 \cdot 27 = 54

= \frac{54 y ^{6} z ^{3}}{x ^{4}}

14 r^{3} + 30 r^{2} + 26 r^{2}

7 (p + 4 q)

\frac{- 2}{- 3 \frac{4}{5}}

6 x y - 2 x

5 + 620

What is (2x^{-7}y^6z^3)(3x)^3 ?
The solution to (2x^{-7}y^6z^3)(3x)^3 is (54y^6z^3)/(x^4)