en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3y^2(3y^4)

Solution

simplify

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

Solution

9 y^{6}

Solution steps

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

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

y^{2} y^{4} = y^{2 + 4}

= 3^{2} y^{2 + 4}

Add the numbers:

2 + 4 = 6

= 3^{2} y^{6}

3^{2} = 9

= 9 y^{6}

Popular Examples

simplify 5*1.6*10^{-19}simplify

5 \cdot 1.6 \cdot 1 0^{- 19}

simplify-47.1e^{-6}simplify

- 47.1 e^{- 6}

simplify 3.27*10^{-8}simplify

3.27 \cdot 1 0^{- 8}

simplify e^{5x}*5e^{5x-9}simplify

e^{5 x} \cdot 5 e^{5 x - 9}

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

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

Frequently Asked Questions (FAQ)

What is 3y^2(3y^4) ?
The solution to 3y^2(3y^4) is 9y^6