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

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

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

simplify

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

4 x^{2} y^{4}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= x \cdot 2^{1 + 1} y^{3} x y

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

xx = x^{1 + 1}

= 2^{2} y^{3} x^{1 + 1} y

Add the numbers:

1 + 1 = 2

= 2^{2} y^{3} x^{2} y

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

= 2^{2} x^{2} y^{3 + 1}

Add the numbers:

3 + 1 = 4

= 2^{2} x^{2} y^{4}

2^{2} = 4

= 4 x^{2} y^{4}

1.6 \cdot 1 0^{- 19} \cdot 6

1.745 \cdot 1 0^{- 2} \cdot 60

7.81 \cdot 1 0^{- 3}

e^{- x} (- 5 e^{- 5 x})