en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

4 x^{3} y^{8}

Solution steps

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

Apply exponent rule:

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

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

= x y x^{2} y^{3} \cdot 2^{1 + 1} y^{4}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= y x^{1 + 2} y^{3} \cdot 2^{2} y^{4}

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

y y^{3} y^{4} = y^{1 + 3 + 4}

= x^{3} \cdot 2^{2} y^{1 + 3 + 4}

Add the numbers:

1 + 3 + 4 = 8

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

2^{2} = 4

= 4 x^{3} y^{8}

Popular Examples

simplify-2x(0.5x^{-0.5})simplify

- 2 x (0.5 x^{- 0.5})

simplify sqrt(1.82^5)*16 simplify

1.8 2^{5} \cdot 16

simplify 3*0.24^{-1/2}simplify

3 \cdot 0.2 4^{- \frac{1}{2}}

simplify (-e^{-1x})*(e^{-2x})simplify

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

simplify 8*(x^4y^4)simplify

8 \cdot (x^{4} y^{4})

Frequently Asked Questions (FAQ)

What is (2xy)(x^2y^3)(2y^4) ?
The solution to (2xy)(x^2y^3)(2y^4) is 4x^3y^8