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Popular >

simplify (6x^2y^3)(4xy^3)

Solution

simplify

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

Solution

24 x^{3} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 6 y^{3} \cdot 4 x^{2 + 1} y^{3}

Add the numbers:

2 + 1 = 3

= 6 y^{3} \cdot 4 x^{3} y^{3}

Apply exponent rule:

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

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

= 6 \cdot 4 x^{3} y^{3 + 3}

Add the numbers:

3 + 3 = 6

= 6 \cdot 4 x^{3} y^{6}

Multiply the numbers:

6 \cdot 4 = 24

= 24 x^{3} y^{6}

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Frequently Asked Questions (FAQ)

What is (6x^2y^3)(4xy^3) ?
The solution to (6x^2y^3)(4xy^3) is 24x^3y^6