en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6y^3z^2)(9xy^2z)

Solution

simplify

(6 y^{3} z^{2}) (9 x y^{2} z)

Solution

54 y^{5} z^{3} x

Solution steps

(6 y^{3} z^{2}) (9 x y^{2} z)

Apply exponent rule:

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

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

= 6 z^{2} \cdot 9 x y^{3 + 2} z

Add the numbers:

3 + 2 = 5

= 6 z^{2} \cdot 9 x y^{5} z

Apply exponent rule:

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

z^{2} z = z^{2 + 1}

= 6 \cdot 9 x y^{5} z^{2 + 1}

Add the numbers:

2 + 1 = 3

= 6 \cdot 9 x y^{5} z^{3}

Multiply the numbers:

6 \cdot 9 = 54

= 54 y^{5} z^{3} x

Popular Examples

simplify e^{x/(2L)}(e^{x/(2L)})simplify

e^{\frac{x}{2 L}} (e^{\frac{x}{2 L}})

simplify-20e^{-x}(-2e^{-x})simplify

- 20 e^{- x} (- 2 e^{- x})

simplify sqrt(x+2)*sqrt(x-1)simplify

x + 2 \cdot x - 1

simplify 2.7x10^{-3}simplify

2.7 x 1 0^{- 3}

simplify 7.1734*10^{-5}simplify

7.1734 \cdot 1 0^{- 5}

Frequently Asked Questions (FAQ)

What is (6y^3z^2)(9xy^2z) ?
The solution to (6y^3z^2)(9xy^2z) is 54y^5z^3x