What is simplify-5x^3y^6(2xy) ?

The solution to simplify-5x^3y^6(2xy) is -10x^4y^7

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simplify-5x^3y^6(2xy)

simplify

- 5 x^{3} y^{6} (2 x y)

- 10 x^{4} y^{7}

Solution steps

- 5 x^{3} y^{6} (2 x y)

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

= - 5 y^{6} \cdot 2 x^{3 + 1} y

Add the numbers:

3 + 1 = 4

= - 5 y^{6} \cdot 2 x^{4} y

Apply exponent rule:

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

y^{6} y = y^{6 + 1}

= - 5 \cdot 2 x^{4} y^{6 + 1}

Add the numbers:

6 + 1 = 7

= - 5 \cdot 2 x^{4} y^{7}

Multiply the numbers:

5 \cdot 2 = 10

= - 10 x^{4} y^{7}

(1.4 \cdot 1 0^{- 4}) \cdot 535

x^{- 7} e v e n

6 c^{4} (4 c^{8})

1.9 (e)^{- 0.5}

(7) (4.5 \cdot 1 0^{- 9})

What is simplify-5x^3y^6(2xy) ?
The solution to simplify-5x^3y^6(2xy) is -10x^4y^7