What is (2x^4y^{12})(6xy^3) ?

The solution to (2x^4y^{12})(6xy^3) is 12x^5y^{15}

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simplify (2x^4y^{12})(6xy^3)

simplify

(2 x^{4} y^{12}) (6 x y^{3})

12 x^{5} y^{15}

Solution steps

(2 x^{4} y^{12}) (6 x y^{3})

Apply exponent rule:

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

x^{4} x = x^{4 + 1}

= 2 y^{12} \cdot 6 x^{4 + 1} y^{3}

Add the numbers:

4 + 1 = 5

= 2 y^{12} \cdot 6 x^{5} y^{3}

Apply exponent rule:

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

y^{12} y^{3} = y^{12 + 3}

= 2 \cdot 6 x^{5} y^{12 + 3}

Add the numbers:

12 + 3 = 15

= 2 \cdot 6 x^{5} y^{15}

Multiply the numbers:

2 \cdot 6 = 12

= 12 x^{5} y^{15}

e^{- 127112.34361}

e^{- 0.02 \cdot 1}

(3 x^{2}) \cdot (5 x y)

5^{- l o g_{5} (4)}

What is (2x^4y^{12})(6xy^3) ?
The solution to (2x^4y^{12})(6xy^3) is 12x^5y^{15}