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

The solution to (2x^2y^3)(6x^3y^2) is 12x^5y^5

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

simplify

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

12 x^{5} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

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

Add the numbers:

3 + 2 = 5

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

Multiply the numbers:

2 \cdot 6 = 12

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

2^{- l o g_{2} (3)}

(24 a^{3} b^{2}) (2 a b^{2})

e^{- x} ln (1 - x)

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

e^{- l n (3) \cdot (s - 1)}