en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

15 x^{3} y^{3}

Solution steps

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

Apply exponent rule:

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

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

= 5 y^{2} \cdot 3 x^{1 + 2} y

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

= 5 \cdot 3 x^{3} y^{2 + 1}

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{3} y^{3}

Popular Examples

simplify (\sqrt[3]{2})/(\sqrt[3]{25)}simplify

simplify (sqrt(5x))/(sqrt(2))simplify

\frac{5 x}{2}

simplify e^{-y}*e^{-y}simplify

e^{- y} \cdot e^{- y}

simplify 1.28*10^{-3}simplify

1.28 \cdot 1 0^{- 3}

simplify 3e^{2x}*e^{-2x}simplify

3 e^{2 x} \cdot e^{- 2 x}

Frequently Asked Questions (FAQ)

What is (5xy^2)(3x^2y) ?
The solution to (5xy^2)(3x^2y) is 15x^3y^3