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Popular >

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

Solution

simplify

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

Solution

12 x^{3} y^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y^{4} y^{2} = y^{4 + 2}

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

Add the numbers:

4 + 2 = 6

= 3 \cdot 4 x^{3} y^{6}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{3} y^{6}

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Frequently Asked Questions (FAQ)

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