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Popular >

simplify (9mn)(8m^3n)

Solution

simplify

(9 mn) (8 m^{3} n)

Solution

72 m^{4} n^{2}

Solution steps

(9 mn) (8 m^{3} n)

Apply exponent rule:

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

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

= 9 n \cdot 8 m^{1 + 3} n

Add the numbers:

1 + 3 = 4

= 9 n \cdot 8 m^{4} n

Apply exponent rule:

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

nn = n^{1 + 1}

= 9 \cdot 8 m^{4} n^{1 + 1}

Add the numbers:

1 + 1 = 2

= 9 \cdot 8 m^{4} n^{2}

Multiply the numbers:

9 \cdot 8 = 72

= 72 m^{4} n^{2}

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Frequently Asked Questions (FAQ)

What is (9mn)(8m^3n) ?
The solution to (9mn)(8m^3n) is 72m^4n^2