en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (b^3c^2d^2)(b^2c^4d^6)

Solution

simplify

(b^{3} c^{2} d^{2}) (b^{2} c^{4} d^{6})

Solution

b^{5} c^{6} d^{8}

Solution steps

(b^{3} c^{2} d^{2}) (b^{2} c^{4} d^{6})

Apply exponent rule:

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

b^{3} b^{2} = b^{3 + 2}

= c^{2} d^{2} b^{3 + 2} c^{4} d^{6}

Add the numbers:

3 + 2 = 5

= c^{2} d^{2} b^{5} c^{4} d^{6}

Apply exponent rule:

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

c^{2} c^{4} = c^{2 + 4}

= d^{2} b^{5} c^{2 + 4} d^{6}

Add the numbers:

2 + 4 = 6

= d^{2} b^{5} c^{6} d^{6}

Apply exponent rule:

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

d^{2} d^{6} = d^{2 + 6}

= b^{5} c^{6} d^{2 + 6}

Add the numbers:

2 + 6 = 8

= b^{5} c^{6} d^{8}

Popular Examples

simplify 8.5*10^{-3}simplify

8.5 \cdot 1 0^{- 3}

simplify-(sqrt(6))/(sqrt(21))simplify

- \frac{6}{21}

join sqrt(2)sqrt(4+\sqrt{15)}join

2 4 + 15

simplify \sqrt[5]{80^4}simplify

simplify 9.24*10^{-7}simplify

9.24 \cdot 1 0^{- 7}

Frequently Asked Questions (FAQ)

What is (b^3c^2d^2)(b^2c^4d^6) ?
The solution to (b^3c^2d^2)(b^2c^4d^6) is b^5c^6d^8