en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a^4b^6)(ab^2)

Solution

simplify

(a^{4} b^{6}) (a b^{2})

Solution

a^{5} b^{8}

Solution steps

(a^{4} b^{6}) (a b^{2})

Apply exponent rule:

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

a^{4} a = a^{4 + 1}

= b^{6} a^{4 + 1} b^{2}

Add the numbers:

4 + 1 = 5

= b^{6} a^{5} b^{2}

Apply exponent rule:

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

b^{6} b^{2} = b^{6 + 2}

= a^{5} b^{6 + 2}

Add the numbers:

6 + 2 = 8

= a^{5} b^{8}

Popular Examples

simplify 1/(sqrt(x))*1/2 x^{-1/2}simplify

\frac{1}{x} \cdot \frac{1}{2} x^{- \frac{1}{2}}

simplify sqrt((x+4)(-x+2))simplify

(x + 4) (- x + 2)

simplify 7.66x10^{-2}simplify

7.66 x 1 0^{- 2}

simplify a^2b^3(2^ab)simplify

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

simplify m^3n^3 simplify

m^{3} n^{3}

Frequently Asked Questions (FAQ)

What is (a^4b^6)(ab^2) ?
The solution to (a^4b^6)(ab^2) is a^5b^8