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Popular >

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

Solution

simplify

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

Solution

6 x^{5} y^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 4 = 6

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

Multiply the numbers:

2 \cdot 3 = 6

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

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Frequently Asked Questions (FAQ)

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