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Popular >

simplify (3mn^2)(9m^2n)

Solution

simplify

(3 m n^{2}) (9 m^{2} n)

Solution

27 m^{3} n^{3}

Solution steps

(3 m n^{2}) (9 m^{2} n)

Apply exponent rule:

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

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

= 3 n^{2} \cdot 9 m^{1 + 2} n

Add the numbers:

1 + 2 = 3

= 3 n^{2} \cdot 9 m^{3} n

Apply exponent rule:

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

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

= 3 \cdot 9 m^{3} n^{2 + 1}

Add the numbers:

2 + 1 = 3

= 3 \cdot 9 m^{3} n^{3}

Multiply the numbers:

3 \cdot 9 = 27

= 27 m^{3} n^{3}

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Frequently Asked Questions (FAQ)

What is (3mn^2)(9m^2n) ?
The solution to (3mn^2)(9m^2n) is 27m^3n^3