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Popular >

simplify 12m^3n^2(2mn)

Solution

simplify

12 m^{3} n^{2} (2 mn)

Solution

24 m^{4} n^{3}

Solution steps

12 m^{3} n^{2} (2 mn)

Apply exponent rule:

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

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

= 12 n^{2} \cdot 2 m^{3 + 1} n

Add the numbers:

3 + 1 = 4

= 12 n^{2} \cdot 2 m^{4} n

Apply exponent rule:

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

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

= 12 \cdot 2 m^{4} n^{2 + 1}

Add the numbers:

2 + 1 = 3

= 12 \cdot 2 m^{4} n^{3}

Multiply the numbers:

12 \cdot 2 = 24

= 24 m^{4} n^{3}

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Frequently Asked Questions (FAQ)

What is 12m^3n^2(2mn) ?
The solution to 12m^3n^2(2mn) is 24m^4n^3