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Popular >

expand 5x^3y(6xy^5)

Solution

expand

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

Solution

30 x^{4} y^{6}

Solution steps

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

Remove parentheses:

(a) = a

= 5 x^{3} y \cdot 6 x y^{5}

Multiply the numbers:

5 \cdot 6 = 30

= 30 x^{3} x y^{5} y

Apply exponent rule:

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

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

= 30 y x^{3 + 1} y^{5}

Add the numbers:

3 + 1 = 4

= 30 y x^{4} y^{5}

Apply exponent rule:

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

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

= 30 x^{4} y^{1 + 5}

Add the numbers:

1 + 5 = 6

= 30 x^{4} y^{6}

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Frequently Asked Questions (FAQ)

What is expand 5x^3y(6xy^5) ?
The solution to expand 5x^3y(6xy^5) is 30x^4y^6