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Popular >

simplify (5mn)(m^2n)

Solution

simplify

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

Solution

5 m^{3} n^{2}

Solution steps

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

Apply exponent rule:

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

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

= 5 n m^{1 + 2} n

Add the numbers:

1 + 2 = 3

= 5 n m^{3} n

Apply exponent rule:

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

nn = n^{1 + 1}

= 5 m^{3} n^{1 + 1}

Add the numbers:

1 + 1 = 2

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

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Frequently Asked Questions (FAQ)

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