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Popular >

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

Solution

simplify

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

Solution

m^{3} n^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

= n m^{3} n^{4}

Apply exponent rule:

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

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

= m^{3} n^{1 + 4}

Add the numbers:

1 + 4 = 5

= m^{3} n^{5}

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Frequently Asked Questions (FAQ)

What is (m^2n)(mn^4) ?
The solution to (m^2n)(mn^4) is m^3n^5