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Popular >

simplify (2xy^4)(3x^3y^5)

Solution

simplify

(2 x y^{4}) (3 x^{3} y^{5})

Solution

6 x^{4} y^{9}

Solution steps

(2 x y^{4}) (3 x^{3} y^{5})

Apply exponent rule:

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

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

= 2 y^{4} \cdot 3 x^{1 + 3} y^{5}

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

y^{4} y^{5} = y^{4 + 5}

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

Add the numbers:

4 + 5 = 9

= 2 \cdot 3 x^{4} y^{9}

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{4} y^{9}

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Frequently Asked Questions (FAQ)

What is (2xy^4)(3x^3y^5) ?
The solution to (2xy^4)(3x^3y^5) is 6x^4y^9