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

The solution to (2x^2y^4z)(5xy^4z^3) is 10x^3y^8z^4

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

simplify

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

10 x^{3} y^{8} z^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y^{4} y^{4} = y^{4 + 4}

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

Add the numbers:

4 + 4 = 8

= 2 z \cdot 5 x^{3} y^{8} z^{3}

Apply exponent rule:

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

z z^{3} = z^{1 + 3}

= 2 \cdot 5 x^{3} y^{8} z^{1 + 3}

Add the numbers:

1 + 3 = 4

= 2 \cdot 5 x^{3} y^{8} z^{4}

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{3} y^{8} z^{4}

x^{- 0} 0.5

3.37 x 1 0^{- 5}

2 (x - 1) (y - 2)

c \cdot e^{(- ∣ x - a ∣)}

1.17 \cdot 1 0^{- 6}

What is (2x^2y^4z)(5xy^4z^3) ?
The solution to (2x^2y^4z)(5xy^4z^3) is 10x^3y^8z^4