What is 3n^{-6}*5e*3e^4*(-2)n^3 ?

The solution to 3n^{-6}*5e*3e^4*(-2)n^3 is -(90e^5)/(n^3)

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simplify 3n^{-6}5e3e^4*(-2)n^3

simplify

3 n^{- 6} \cdot 5 e \cdot 3 e^{4} \cdot (- 2) n^{3}

- \frac{90 e ^{5}}{n ^{3}}

Solution steps

3 n^{- 6} \cdot 5 e 3 e^{4} (- 2) n^{3}

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= n^{- 6} \cdot 5 e 3^{1 + 1} e^{4} (- 2) n^{3}

Add the numbers:

1 + 1 = 2

= n^{- 6} \cdot 5 e 3^{2} e^{4} (- 2) n^{3}

Apply exponent rule:

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

e e^{4} = e^{1 + 4}

= n^{- 6} \cdot 5 \cdot 3^{2} e^{1 + 4} (- 2) n^{3}

Add the numbers:

1 + 4 = 5

= n^{- 6} \cdot 5 \cdot 3^{2} e^{5} (- 2) n^{3}

Apply exponent rule:

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

n^{- 6} n^{3} = n^{- 6 + 3}

= 5 \cdot 3^{2} e^{5} (- 2) n^{- 6 + 3}

Add/Subtract the numbers:

- 6 + 3 = - 3

= 5 \cdot 3^{2} e^{5} (- 2) n^{- 3}

Remove parentheses:

(- a) = - a

= - 5 \cdot 3^{2} e^{5} \cdot 2 n^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

n^{- 3} = \frac{1}{n ^{3}}

= 3^{2} \cdot 5 \cdot 2 e^{5} \frac{1}{n ^{3}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot 5 \cdot 3 ^{2} e ^{5} \cdot 2}{n ^{3}}

Multiply the numbers:

1 \cdot 5 \cdot 2 = 10

= - \frac{3 ^{2} \cdot 10 e ^{5}}{n ^{3}}

10 \cdot 3^{2} e^{5} = 90 e^{5}

= - \frac{90 e ^{5}}{n ^{3}}

3 e^{- l n (5)}

0.9 e^{- 0.9}

What is 3n^{-6}*5e*3e^4*(-2)n^3 ?
The solution to 3n^{-6}*5e*3e^4*(-2)n^3 is -(90e^5)/(n^3)