What is (6x^3y^2)(3x^2y^5) ?

The solution to (6x^3y^2)(3x^2y^5) is 18x^5y^7

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simplify (6x^3y^2)(3x^2y^5)

simplify

(6 x^{3} y^{2}) (3 x^{2} y^{5})

18 x^{5} y^{7}

Solution steps

(6 x^{3} y^{2}) (3 x^{2} y^{5})

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

y^{2} y^{5} = y^{2 + 5}

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

Add the numbers:

2 + 5 = 7

= 6 \cdot 3 x^{5} y^{7}

Multiply the numbers:

6 \cdot 3 = 18

= 18 x^{5} y^{7}

\frac{1}{36 π} \cdot 1 0^{- 9}

e^{- 2 x} \cdot (- 1)

\frac{1}{a} e^{- (\frac{2}{3} x^{2})}

(x^{x})^{^{'}}