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Popular >

simplify 4x^3y(5x^2y^5)

Solution

simplify

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

Solution

20 x^{5} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

= 4 y \cdot 5 x^{3 + 2} y^{5}

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 5 = 6

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

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{5} y^{6}

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Frequently Asked Questions (FAQ)

What is 4x^3y(5x^2y^5) ?
The solution to 4x^3y(5x^2y^5) is 20x^5y^6