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Popular >

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

Solution

simplify

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

Solution

6 x^{5} y^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 4 = 7

= 3 \cdot 2 x^{5} y^{7}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{5} y^{7}

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Frequently Asked Questions (FAQ)

What is 3x^3y^3(2x^2y^4) ?
The solution to 3x^3y^3(2x^2y^4) is 6x^5y^7