What is simplify-8x^2y^3(6x^4y^2) ?

The solution to simplify-8x^2y^3(6x^4y^2) is -48x^6y^5

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simplify-8x^2y^3(6x^4y^2)

simplify

- 8 x^{2} y^{3} (6 x^{4} y^{2})

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

Solution steps

- 8 x^{2} y^{3} (6 x^{4} y^{2})

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= - 8 y^{3} \cdot 6 x^{2 + 4} y^{2}

Add the numbers:

2 + 4 = 6

= - 8 y^{3} \cdot 6 x^{6} y^{2}

Apply exponent rule:

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

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

= - 8 \cdot 6 x^{6} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= - 8 \cdot 6 x^{6} y^{5}

Multiply the numbers:

8 \cdot 6 = 48

= - 48 x^{6} y^{5}

1 - x \cdot 1 + x

- 3 x^{3} y^{2} (12 y^{4})

- 2 x e^{- x^{2}}

x e^{- 7 x}

What is simplify-8x^2y^3(6x^4y^2) ?
The solution to simplify-8x^2y^3(6x^4y^2) is -48x^6y^5