What is (3x^2y^3)(4x^3y^2) ?

The solution to (3x^2y^3)(4x^3y^2) is 12x^5y^5

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simplify (3x^2y^3)(4x^3y^2)

simplify

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

12 x^{5} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 3 y^{3} \cdot 4 x^{5} y^{2}

Apply exponent rule:

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

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

= 3 \cdot 4 x^{5} y^{3 + 2}

Add the numbers:

3 + 2 = 5

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

Multiply the numbers:

3 \cdot 4 = 12

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

e^{- a x} \cdot e^{a x}

9.2 \cdot 1 0^{- 4}

(2.57805 \cdot 1 0^{- 9}) (1.48566 \cdot 1 0^{21})

e^{- \frac{3}{3}}

4 \cdot e^{- 4 \cdot 0.5}