en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ab^2c)(ab^4c)

Solution

simplify

(a b^{2} c) (a b^{4} c)

Solution

a^{2} b^{6} c^{2}

Solution steps

(a b^{2} c) (a b^{4} c)

Apply exponent rule:

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

aa = a^{1 + 1}

= b^{2} c a^{1 + 1} b^{4} c

Add the numbers:

1 + 1 = 2

= b^{2} c a^{2} b^{4} c

Apply exponent rule:

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

b^{2} b^{4} = b^{2 + 4}

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

Add the numbers:

2 + 4 = 6

= c a^{2} b^{6} c

Apply exponent rule:

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

cc = c^{1 + 1}

= a^{2} b^{6} c^{1 + 1}

Add the numbers:

1 + 1 = 2

= a^{2} b^{6} c^{2}

Popular Examples

simplify sqrt(x+4)*sqrt(x-1)simplify

x + 4 \cdot x - 1

simplify 1.05*10^{-3}(9.81)simplify

1.05 \cdot 1 0^{- 3} (9.81)

simplify \sqrt[3]{(x^2+2y)^2}simplify

simplify sqrt(x+4)*sqrt(x-3)simplify

x + 4 \cdot x - 3

simplify e^{-0.0056}simplify

e^{- 0.0056}

Frequently Asked Questions (FAQ)

What is (ab^2c)(ab^4c) ?
The solution to (ab^2c)(ab^4c) is a^2b^6c^2