en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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}

Popular Examples

simplify (\sqrt[5]{2^2x^3})^4 simplify

simplify 1.6*10^{-19}*6 simplify

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

simplify 1.745*10^{-2}*60 simplify

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

simplify 7.81*10^{-3}simplify

7.81 \cdot 1 0^{- 3}

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

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

Frequently Asked Questions (FAQ)

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