What is simplify-2xy^2(5xy^2) ?

The solution to simplify-2xy^2(5xy^2) is -10x^2y^4

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simplify-2xy^2(5xy^2)

simplify

- 2 x y^{2} (5 x y^{2})

- 10 x^{2} y^{4}

Solution steps

- 2 x y^{2} (5 x y^{2})

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= - 2 \cdot 5 x^{2} y^{2 + 2}

Add the numbers:

2 + 2 = 4

= - 2 \cdot 5 x^{2} y^{4}

Multiply the numbers:

2 \cdot 5 = 10

= - 10 x^{2} y^{4}

(- 25)^{- \frac{3}{2}}

e^{- 0.61}

e^{- 0.1 x}

e^{- 0.33}

e^{- 0.27}

What is simplify-2xy^2(5xy^2) ?
The solution to simplify-2xy^2(5xy^2) is -10x^2y^4