What is (6x^4y^{12})(2x^2y^5) ?

The solution to (6x^4y^{12})(2x^2y^5) is 12x^6y^{17}

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simplify (6x^4y^{12})(2x^2y^5)

simplify

(6 x^{4} y^{12}) (2 x^{2} y^{5})

12 x^{6} y^{17}

Solution steps

(6 x^{4} y^{12}) (2 x^{2} y^{5})

Apply exponent rule:

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

x^{4} x^{2} = x^{4 + 2}

= 6 y^{12} \cdot 2 x^{4 + 2} y^{5}

Add the numbers:

4 + 2 = 6

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

Apply exponent rule:

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

y^{12} y^{5} = y^{12 + 5}

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

Add the numbers:

12 + 5 = 17

= 6 \cdot 2 x^{6} y^{17}

Multiply the numbers:

6 \cdot 2 = 12

= 12 x^{6} y^{17}

(6.03 \cdot 1 0^{6}) (1.6 \cdot 1 0^{- 19})

4.5 \cdot 1 0^{- 8}

597.96 e^{- 2.843 (0.64)}

0.5 e^{- 0.05 \cdot \frac{1.5}{12}}

(x - 4)^{2} (x - 2)^{2}

What is (6x^4y^{12})(2x^2y^5) ?
The solution to (6x^4y^{12})(2x^2y^5) is 12x^6y^{17}