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Popular >

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

Solution

simplify

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

Solution

20 x^{2} y^{7}

Solution steps

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

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 3 = 7

= 5 \cdot 4 x^{2} y^{7}

Multiply the numbers:

5 \cdot 4 = 20

= 20 x^{2} y^{7}

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Frequently Asked Questions (FAQ)

What is (5xy^4)(4xy^3) ?
The solution to (5xy^4)(4xy^3) is 20x^2y^7