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Popular >

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

Solution

simplify

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

Solution

15 x^{4} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

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

Add the numbers:

3 + 1 = 4

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{4} y^{4}

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Frequently Asked Questions (FAQ)

What is (5xy^3)(3x^3y) ?
The solution to (5xy^3)(3x^3y) is 15x^4y^4