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Popular >

simplify (m^2n)(4mn^2)(mn)

Solution

simplify

(m^{2} n) (4 m n^{2}) (mn)

Solution

4 m^{4} n^{4}

Solution steps

(m^{2} n) (4 m n^{2}) (mn)

Apply exponent rule:

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

m^{2} mm = m^{2 + 1 + 1}

= n \cdot 4 n^{2} m^{2 + 1 + 1} n

Add the numbers:

2 + 1 + 1 = 4

= n \cdot 4 n^{2} m^{4} n

Apply exponent rule:

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

n n^{2} n = n^{1 + 2 + 1}

= 4 m^{4} n^{1 + 2 + 1}

Add the numbers:

1 + 2 + 1 = 4

= 4 m^{4} n^{4}

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Frequently Asked Questions (FAQ)

What is (m^2n)(4mn^2)(mn) ?
The solution to (m^2n)(4mn^2)(mn) is 4m^4n^4