What is (5x^2y^3)(3x^2y^5)4 ?

The solution to (5x^2y^3)(3x^2y^5)4 is 60x^4y^8

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simplify (5x^2y^3)(3x^2y^5)4

simplify

(5 x^{2} y^{3}) (3 x^{2} y^{5}) 4

60 x^{4} y^{8}

Solution steps

(5 x^{2} y^{3}) (3 x^{2} y^{5}) \cdot 4

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

Apply exponent rule:

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

y^{3} y^{5} = y^{3 + 5}

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

Add the numbers:

3 + 5 = 8

= 5 \cdot 3 x^{4} y^{8} \cdot 4

Multiply the numbers:

5 \cdot 3 \cdot 4 = 60

= 60 x^{4} y^{8}

30 e^{- 0.021661 (12)}

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

(4 x^{2} y) (18 x y^{3})

\frac{e ^{x}}{e ^{1}}