What is (0.5x^4y^2)(0.4x^3y^2z) ?

The solution to (0.5x^4y^2)(0.4x^3y^2z) is 0.2x^7y^4z

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simplify (0.5x^4y^2)(0.4x^3y^2z)

simplify

(0.5 x^{4} y^{2}) (0.4 x^{3} y^{2} z)

0.2 x^{7} y^{4} z

Solution steps

(0.5 x^{4} y^{2}) (0.4 x^{3} y^{2} z)

Apply exponent rule:

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

x^{4} x^{3} = x^{4 + 3}

= 0.5 y^{2} \cdot 0.4 x^{4 + 3} y^{2} z

Add the numbers:

4 + 3 = 7

= 0.5 y^{2} \cdot 0.4 x^{7} y^{2} z

Apply exponent rule:

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

y^{2} y^{2} = y^{2 + 2}

= 0.5 \cdot 0.4 x^{7} y^{2 + 2} z

Add the numbers:

2 + 2 = 4

= 0.5 \cdot 0.4 x^{7} y^{4} z

Multiply the numbers:

0.5 \cdot 0.4 = 0.2

= 0.2 x^{7} y^{4} z

10 \cdot 10 \cdot 10

6 a^{2} x (2 a x y)

600 e^{- 0.02 x}

- 4.8456 \cdot e^{- 0.0673 \cdot 3}

1.8 \cdot 1 0^{- 10}

What is (0.5x^4y^2)(0.4x^3y^2z) ?
The solution to (0.5x^4y^2)(0.4x^3y^2z) is 0.2x^7y^4z