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Popular >

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

Solution

simplify

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

Solution

12 x^{4} y^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

y y^{5} = y^{1 + 5}

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

Add the numbers:

1 + 5 = 6

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

Multiply the numbers:

6 \cdot 2 = 12

= 12 x^{4} y^{6}

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Frequently Asked Questions (FAQ)

What is 6x^3y(2xy^5) ?
The solution to 6x^3y(2xy^5) is 12x^4y^6