What is simplify-8xy^3(16x^5y) ?

The solution to simplify-8xy^3(16x^5y) is -128x^6y^4

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simplify-8xy^3(16x^5y)

simplify

- 8 x y^{3} (16 x^{5} y)

- 128 x^{6} y^{4}

Solution steps

- 8 x y^{3} (16 x^{5} y)

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

= - 8 y^{3} \cdot 16 x^{1 + 5} y

Add the numbers:

1 + 5 = 6

= - 8 y^{3} \cdot 16 x^{6} y

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

= - 8 \cdot 16 x^{6} y^{3 + 1}

Add the numbers:

3 + 1 = 4

= - 8 \cdot 16 x^{6} y^{4}

Multiply the numbers:

8 \cdot 16 = 128

= - 128 x^{6} y^{4}

- 3 x^{2} + 16 x + 9 = - 2 x

224 - 54

7 x - 21

2 + (- 6)

4 h^{2} - 56

What is simplify-8xy^3(16x^5y) ?
The solution to simplify-8xy^3(16x^5y) is -128x^6y^4