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

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

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

simplify

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

0.4 \cdot 1 0^{- 5}

(- 3)^{4}

- e^{- (1)}

\frac{e ^{6}}{e ^{- \frac{1}{2}}}

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