What is (3mn^4)(7k^2m^3n^7) ?

The solution to (3mn^4)(7k^2m^3n^7) is 21m^4n^{11}k^2

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simplify (3mn^4)(7k^2m^3n^7)

simplify

(3 m n^{4}) (7 k^{2} m^{3} n^{7})

21 m^{4} n^{11} k^{2}

Solution steps

(3 m n^{4}) (7 k^{2} m^{3} n^{7})

Apply exponent rule:

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

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

= 3 n^{4} \cdot 7 k^{2} m^{1 + 3} n^{7}

Add the numbers:

1 + 3 = 4

= 3 n^{4} \cdot 7 k^{2} m^{4} n^{7}

Apply exponent rule:

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

n^{4} n^{7} = n^{4 + 7}

= 3 \cdot 7 k^{2} m^{4} n^{4 + 7}

Add the numbers:

4 + 7 = 11

= 3 \cdot 7 k^{2} m^{4} n^{11}

Multiply the numbers:

3 \cdot 7 = 21

= 21 m^{4} n^{11} k^{2}

9.81 x 1 0^{- 4}

17 e^{- \frac{10}{100}}

- \frac{1}{10} e^{- \frac{x}{10}}

(1.5 x^{2}) (8 x^{- 6})

What is (3mn^4)(7k^2m^3n^7) ?
The solution to (3mn^4)(7k^2m^3n^7) is 21m^4n^{11}k^2