en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

6 x^{7} y^{7}

Solution steps

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

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

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

Add the numbers:

5 + 2 = 7

= 2 y^{5} \cdot 3 x^{7} y^{2}

Apply exponent rule:

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

y^{5} y^{2} = y^{5 + 2}

= 2 \cdot 3 x^{7} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= 2 \cdot 3 x^{7} y^{7}

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{7} y^{7}

Popular Examples

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

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

simplify (2x^3)*2 simplify

(2 x^{3}) \cdot 2

simplify (6x^3)(4x^3y^4)simplify

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

simplify 0.0027*10^{-6}simplify

0.0027 \cdot 1 0^{- 6}

simplify (2x^3)*x simplify

(2 x^{3}) \cdot x

Frequently Asked Questions (FAQ)

What is (2x^5y^5)(3x^2y^2) ?
The solution to (2x^5y^5)(3x^2y^2) is 6x^7y^7