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Popular >

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

Solution

simplify

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

Solution

20 x^{4} y^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 3 = 7

= 4 \cdot 5 x^{4} y^{7}

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{4} y^{7}

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Frequently Asked Questions (FAQ)

What is (4x^3y^4)(5xy^3) ?
The solution to (4x^3y^4)(5xy^3) is 20x^4y^7