What is simplify-5x^2y^4(2x^3y^2) ?

The solution to simplify-5x^2y^4(2x^3y^2) is -10x^5y^6

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simplify-5x^2y^4(2x^3y^2)

simplify

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

- 10 x^{5} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

y^{4} y^{2} = y^{4 + 2}

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

Add the numbers:

4 + 2 = 6

= - 5 \cdot 2 x^{5} y^{6}

Multiply the numbers:

5 \cdot 2 = 10

= - 10 x^{5} y^{6}

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What is simplify-5x^2y^4(2x^3y^2) ?
The solution to simplify-5x^2y^4(2x^3y^2) is -10x^5y^6