What is (6mn^3)(36m^4n^2)(4m^5n^5) ?

The solution to (6mn^3)(36m^4n^2)(4m^5n^5) is 864m^{10}n^{10}

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simplify (6mn^3)(36m^4n^2)(4m^5n^5)

simplify

(6 m n^{3}) (36 m^{4} n^{2}) (4 m^{5} n^{5})

864 m^{10} n^{10}

Solution steps

(6 m n^{3}) (36 m^{4} n^{2}) (4 m^{5} n^{5})

Apply exponent rule:

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

m m^{4} m^{5} = m^{1 + 4 + 5}

= 6 n^{3} \cdot 36 n^{2} \cdot 4 m^{1 + 4 + 5} n^{5}

Add the numbers:

1 + 4 + 5 = 10

= 6 n^{3} \cdot 36 n^{2} \cdot 4 m^{10} n^{5}

Apply exponent rule:

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

n^{3} n^{2} n^{5} = n^{3 + 2 + 5}

= 6 \cdot 36 \cdot 4 m^{10} n^{3 + 2 + 5}

Add the numbers:

3 + 2 + 5 = 10

= 6 \cdot 36 \cdot 4 m^{10} n^{10}

Multiply the numbers:

6 \cdot 36 \cdot 4 = 864

= 864 m^{10} n^{10}

2 (1) e^{- 1}

x - 1

ln (2) e^{- l n (2)}

What is (6mn^3)(36m^4n^2)(4m^5n^5) ?
The solution to (6mn^3)(36m^4n^2)(4m^5n^5) is 864m^{10}n^{10}