en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5a^2b^3)(6a^3b)

Solution

simplify

(5 a^{2} b^{3}) (6 a^{3} b)

Solution

30 a^{5} b^{4}

Solution steps

(5 a^{2} b^{3}) (6 a^{3} b)

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= 5 b^{3} \cdot 6 a^{2 + 3} b

Add the numbers:

2 + 3 = 5

= 5 b^{3} \cdot 6 a^{5} b

Apply exponent rule:

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

b^{3} b = b^{3 + 1}

= 5 \cdot 6 a^{5} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 5 \cdot 6 a^{5} b^{4}

Multiply the numbers:

5 \cdot 6 = 30

= 30 a^{5} b^{4}

Popular Examples

simplify C^1e^1 simplify

C^{1} e^{1}

simplify 3(1.7*10^{-5})simplify

3 (1.7 \cdot 1 0^{- 5})

simplify x^3(x+y)^3 simplify

x^{3} (x + y)^{3}

simplify (sqrt(29))/(sqrt(78))simplify

\frac{29}{78}

simplify e^{(-21*0.111111134)}simplify

e^{(- 21 \cdot 0.111111134)}

Frequently Asked Questions (FAQ)

What is (5a^2b^3)(6a^3b) ?
The solution to (5a^2b^3)(6a^3b) is 30a^5b^4