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

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

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

simplify

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

10 x^{2} y^{5} z^{3}

Solution steps

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

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

z z^{2} = z^{1 + 2}

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{2} y^{5} z^{3}

e^{x} \cdot e^{x}

e^{- a t} u (t)

(x^{2} + y^{2})^{2}

e^{- 11}

(7)^{3}

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