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Popular >

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

Solution

simplify

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

Solution

12 x^{4} y^{8}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

y^{3} y^{5} = y^{3 + 5}

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

Add the numbers:

3 + 5 = 8

= 4 \cdot 3 x^{4} y^{8}

Multiply the numbers:

4 \cdot 3 = 12

= 12 x^{4} y^{8}

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Frequently Asked Questions (FAQ)

What is (4xy^3)(3x^3y^5) ?
The solution to (4xy^3)(3x^3y^5) is 12x^4y^8