What is (5x^2y)^2(2xy^3z)^3(4xyz) ?

The solution to (5x^2y)^2(2xy^3z)^3(4xyz) is 800x^8y^{12}z^4

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simplify (5x^2y)^2(2xy^3z)^3(4xyz)

simplify

(5 x^{2} y)^{2} (2 x y^{3} z)^{3} (4 x yz)

800 x^{8} y^{12} z^{4}

Solution steps

(5 x^{2} y)^{2} (2 x y^{3} z)^{3} (4 x yz)

Simplify

(5 x^{2} y)^{2} : 25 x^{4} y^{2}

= 25 x^{4} y^{2} (2 x y^{3} z)^{3} \cdot 4 x yz

Simplify

(2 x y^{3} z)^{3} : 8 x^{3} y^{9} z^{3}

= 25 x^{4} y^{2} \cdot 8 x^{3} y^{9} z^{3} \cdot 4 x yz

Multiply the numbers:

25 \cdot 8 \cdot 4 = 800

= 800 x^{4} y^{2} x^{3} y^{9} z^{3} x yz

Simplify

x^{4} x^{3} x : x^{8}

= 800 x^{8} y^{2} y^{9} z^{3} yz

Simplify

y^{2} y^{9} y : y^{12}

= 800 x^{8} y^{12} z^{3} z

Simplify

z^{3} z : z^{4}

= 800 x^{8} y^{12} z^{4}

\frac{10 k - 5}{5}

(- 3)^{\frac{6}{5}}

x^{2} + 12 x + 36

16 x y + 8 x - 6 y - 3

15 k^{4} + 35 k^{3} + 20 k^{2}

What is (5x^2y)^2(2xy^3z)^3(4xyz) ?
The solution to (5x^2y)^2(2xy^3z)^3(4xyz) is 800x^8y^{12}z^4