en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

12 x^{5} y^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

= 4 \cdot 3 x^{5} y^{1 + 2}

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

4 \cdot 3 = 12

= 12 x^{5} y^{3}

Popular Examples

simplify 7e^{-93(20)}simplify

7 e^{- 93 (20)}

simplify 1.5e^{-4(0.15)}simplify

1.5 e^{- 4 (0.15)}

simplify sqrt(25^x)simplify

2 5^{x}

simplify 518.2*6^{-0.7082}simplify

518.2 \cdot 6^{- 0.7082}

simplify sqrt(x)\sqrt[16]{x^7}simplify

Frequently Asked Questions (FAQ)

What is (4x^2y)(3x^3y^2) ?
The solution to (4x^2y)(3x^3y^2) is 12x^5y^3