What is (3x^2y^3)(2x^5y^8) ?

The solution to (3x^2y^3)(2x^5y^8) is 6x^7y^{11}

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simplify (3x^2y^3)(2x^5y^8)

simplify

(3 x^{2} y^{3}) (2 x^{5} y^{8})

6 x^{7} y^{11}

Solution steps

(3 x^{2} y^{3}) (2 x^{5} y^{8})

Apply exponent rule:

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

x^{2} x^{5} = x^{2 + 5}

= 3 y^{3} \cdot 2 x^{2 + 5} y^{8}

Add the numbers:

2 + 5 = 7

= 3 y^{3} \cdot 2 x^{7} y^{8}

Apply exponent rule:

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

y^{3} y^{8} = y^{3 + 8}

= 3 \cdot 2 x^{7} y^{3 + 8}

Add the numbers:

3 + 8 = 11

= 3 \cdot 2 x^{7} y^{11}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{7} y^{11}

e^{- 3 x} sin (x)

(a^{\frac{1}{2}} + b^{\frac{1}{2}})^{3} \cdot (a^{\frac{1}{2}} - b^{\frac{1}{2}})^{3}

(((2 x^{2})^{3})^{- 4})^{- 1}

(2.3 \cdot 1 0^{1}) (7 \cdot 1 0^{6})

(5 x + 2)^{- 2}