en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (7m^5n^3)(8mn^6)

Solution

simplify

(7 m^{5} n^{3}) (8 m n^{6})

Solution

56 m^{6} n^{9}

Solution steps

(7 m^{5} n^{3}) (8 m n^{6})

Apply exponent rule:

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

m^{5} m = m^{5 + 1}

= 7 n^{3} \cdot 8 m^{5 + 1} n^{6}

Add the numbers:

5 + 1 = 6

= 7 n^{3} \cdot 8 m^{6} n^{6}

Apply exponent rule:

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

n^{3} n^{6} = n^{3 + 6}

= 7 \cdot 8 m^{6} n^{3 + 6}

Add the numbers:

3 + 6 = 9

= 7 \cdot 8 m^{6} n^{9}

Multiply the numbers:

7 \cdot 8 = 56

= 56 m^{6} n^{9}

Popular Examples

simplify \sqrt[7]{3^{-2}}simplify

simplify e^{-1/(x+1)}simplify

e^{- \frac{1}{x + 1}}

simplify sqrt((2x)/5)*sqrt(5/2)simplify

\frac{2 x}{5} \cdot \frac{5}{2}

simplify (2.8x^{1.2})x(10^2x10^3)simplify

(2.8 x^{1.2}) x (1 0^{2} x 1 0^{3})

simplify (e^{-t}ln(t))(e^{-t})simplify

(e^{- t} ln (t)) (e^{- t})

Frequently Asked Questions (FAQ)

What is (7m^5n^3)(8mn^6) ?
The solution to (7m^5n^3)(8mn^6) is 56m^6n^9