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)(4xy^2)

Solution

simplify

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

Solution

8 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{3} y^{5}

Popular Examples

simplify 10^{-1/2 ln(1)}simplify

1 0^{- \frac{1}{2} l n (1)}

simplify (e^{5x})/(e^{9x)}simplify

\frac{e ^{5 x}}{e ^{9 x}}

simplify (6.49*10^{-7})*35 simplify

(6.49 \cdot 1 0^{- 7}) \cdot 35

simplify 49a^2b^2 simplify

49 a^{2} b^{2}

simplify 0.2x^{-1}simplify

0.2 x^{- 1}

Frequently Asked Questions (FAQ)

What is (2x^2y^3)(4xy^2) ?
The solution to (2x^2y^3)(4xy^2) is 8x^3y^5