en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3ab^2c^3)(5ab)

Solution

simplify

(3 a b^{2} c^{3}) (5 ab)

Solution

15 a^{2} b^{3} c^{3}

Solution steps

(3 a b^{2} c^{3}) (5 ab)

Apply exponent rule:

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

aa = a^{1 + 1}

= 3 b^{2} c^{3} \cdot 5 a^{1 + 1} b

Add the numbers:

1 + 1 = 2

= 3 b^{2} c^{3} \cdot 5 a^{2} b

Apply exponent rule:

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

b^{2} b = b^{2 + 1}

= 3 c^{3} \cdot 5 a^{2} b^{2 + 1}

Add the numbers:

2 + 1 = 3

= 3 c^{3} \cdot 5 a^{2} b^{3}

Multiply the numbers:

3 \cdot 5 = 15

= 15 a^{2} b^{3} c^{3}

Popular Examples

simplify ((y^2))/(z^2)simplify

\frac{( y ^{2} )}{z ^{2}}

simplify e^{-2x}(dy)/(dx)simplify

e^{- 2 x} \frac{d y}{d x}

simplify \sqrt[4]{sqrt(13)}simplify

simplify 1.9e^{-6}*2.34e^4 simplify

1.9 e^{- 6} \cdot 2.34 e^{4}

simplify sqrt((0.72))^2(-0.609)^2 simplify

(0.72)^{2} (- 0.609)^{2}

Frequently Asked Questions (FAQ)

What is (3ab^2c^3)(5ab) ?
The solution to (3ab^2c^3)(5ab) is 15a^2b^3c^3