en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4x^3y^2)(2xy^6)

Solution

simplify

(4 x^{3} y^{2}) (2 x y^{6})

Solution

8 x^{4} y^{8}

Solution steps

(4 x^{3} y^{2}) (2 x y^{6})

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

= 4 y^{2} \cdot 2 x^{3 + 1} y^{6}

Add the numbers:

3 + 1 = 4

= 4 y^{2} \cdot 2 x^{4} y^{6}

Apply exponent rule:

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

y^{2} y^{6} = y^{2 + 6}

= 4 \cdot 2 x^{4} y^{2 + 6}

Add the numbers:

2 + 6 = 8

= 4 \cdot 2 x^{4} y^{8}

Multiply the numbers:

4 \cdot 2 = 8

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

Popular Examples

simplify 3.07*10^{-4}simplify

3.07 \cdot 1 0^{- 4}

simplify \sqrt[4]{\sqrt[5]{64^4}}simplify

expand 3(xy)^3 expand

3 (x y)^{3}

simplify 9b^{2-a}(3b^6)simplify

9 b^{2 - a} (3 b^{6})

simplify 2(1.6*10^{-19})simplify

2 (1.6 \cdot 1 0^{- 19})

Frequently Asked Questions (FAQ)

What is (4x^3y^2)(2xy^6) ?
The solution to (4x^3y^2)(2xy^6) is 8x^4y^8