What is (4x^2y)(5xy^3)(6x^3y^4z) ?

The solution to (4x^2y)(5xy^3)(6x^3y^4z) is 120x^6y^8z

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simplify (4x^2y)(5xy^3)(6x^3y^4z)

simplify

(4 x^{2} y) (5 x y^{3}) (6 x^{3} y^{4} z)

120 x^{6} y^{8} z

Solution steps

(4 x^{2} y) (5 x y^{3}) (6 x^{3} y^{4} z)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x x^{3} = x^{2 + 1 + 3}

= 4 y \cdot 5 y^{3} \cdot 6 x^{2 + 1 + 3} y^{4} z

Add the numbers:

2 + 1 + 3 = 6

= 4 y \cdot 5 y^{3} \cdot 6 x^{6} y^{4} z

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y y^{3} y^{4} = y^{1 + 3 + 4}

= 4 \cdot 5 \cdot 6 x^{6} y^{1 + 3 + 4} z

Add the numbers:

1 + 3 + 4 = 8

= 4 \cdot 5 \cdot 6 x^{6} y^{8} z

Multiply the numbers:

4 \cdot 5 \cdot 6 = 120

= 120 x^{6} y^{8} z

x - 3 \cdot x + 4

- 3 x^{2} (10 y^{2})

What is (4x^2y)(5xy^3)(6x^3y^4z) ?
The solution to (4x^2y)(5xy^3)(6x^3y^4z) is 120x^6y^8z