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Popular >

simplify (3x^3y^2)(2xy^6)

Solution

simplify

(3 x^{3} y^{2}) (2 x y^{6})

Solution

6 x^{4} y^{8}

Solution steps

(3 x^{3} y^{2}) (2 x y^{6})

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

= 3 y^{2} \cdot 2 x^{3 + 1} y^{6}

Add the numbers:

3 + 1 = 4

= 3 y^{2} \cdot 2 x^{4} y^{6}

Apply exponent rule:

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

y^{2} y^{6} = y^{2 + 6}

= 3 \cdot 2 x^{4} y^{2 + 6}

Add the numbers:

2 + 6 = 8

= 3 \cdot 2 x^{4} y^{8}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{4} y^{8}

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Frequently Asked Questions (FAQ)

What is (3x^3y^2)(2xy^6) ?
The solution to (3x^3y^2)(2xy^6) is 6x^4y^8