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Popular >

simplify (18xy^4)(2x^3y^2)

Solution

simplify

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

Solution

36 x^{4} y^{6}

Solution steps

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

Apply exponent rule:

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

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

= 18 y^{4} \cdot 2 x^{1 + 3} y^{2}

Add the numbers:

1 + 3 = 4

= 18 y^{4} \cdot 2 x^{4} y^{2}

Apply exponent rule:

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

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

= 18 \cdot 2 x^{4} y^{4 + 2}

Add the numbers:

4 + 2 = 6

= 18 \cdot 2 x^{4} y^{6}

Multiply the numbers:

18 \cdot 2 = 36

= 36 x^{4} y^{6}

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Frequently Asked Questions (FAQ)

What is (18xy^4)(2x^3y^2) ?
The solution to (18xy^4)(2x^3y^2) is 36x^4y^6