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Popular >

simplify 3m^3n^2(8mn^3)

Solution

simplify

3 m^{3} n^{2} (8 m n^{3})

Solution

24 m^{4} n^{5}

Solution steps

3 m^{3} n^{2} (8 m n^{3})

Apply exponent rule:

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

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

= 3 n^{2} \cdot 8 m^{3 + 1} n^{3}

Add the numbers:

3 + 1 = 4

= 3 n^{2} \cdot 8 m^{4} n^{3}

Apply exponent rule:

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

n^{2} n^{3} = n^{2 + 3}

= 3 \cdot 8 m^{4} n^{2 + 3}

Add the numbers:

2 + 3 = 5

= 3 \cdot 8 m^{4} n^{5}

Multiply the numbers:

3 \cdot 8 = 24

= 24 m^{4} n^{5}

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Frequently Asked Questions (FAQ)

What is 3m^3n^2(8mn^3) ?
The solution to 3m^3n^2(8mn^3) is 24m^4n^5