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Popular >

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

Solution

simplify

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

Solution

8 x^{3} y^{7}

Solution steps

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

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 2 y^{3} \cdot 4 x^{2 + 1} y^{4}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y^{3} y^{4} = y^{3 + 4}

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

Add the numbers:

3 + 4 = 7

= 2 \cdot 4 x^{3} y^{7}

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{3} y^{7}

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Frequently Asked Questions (FAQ)

What is 2x^2y^3(4xy^4) ?
The solution to 2x^2y^3(4xy^4) is 8x^3y^7