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Popular >

simplify (7m^2n)(6mn^3)

Solution

simplify

(7 m^{2} n) (6 m n^{3})

Solution

42 m^{3} n^{4}

Solution steps

(7 m^{2} n) (6 m n^{3})

Apply exponent rule:

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

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

= 7 n \cdot 6 m^{2 + 1} n^{3}

Add the numbers:

2 + 1 = 3

= 7 n \cdot 6 m^{3} n^{3}

Apply exponent rule:

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

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

= 7 \cdot 6 m^{3} n^{1 + 3}

Add the numbers:

1 + 3 = 4

= 7 \cdot 6 m^{3} n^{4}

Multiply the numbers:

7 \cdot 6 = 42

= 42 m^{3} n^{4}

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Frequently Asked Questions (FAQ)

What is (7m^2n)(6mn^3) ?
The solution to (7m^2n)(6mn^3) is 42m^3n^4