What is a^6e^2*a^{-3}e^{-1} ?

The solution to a^6e^2*a^{-3}e^{-1} is ea^3

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simplify a^6e^2*a^{-3}e^{-1}

simplify

a^{6} e^{2} \cdot a^{- 3} e^{- 1}

e a^{3}

Solution steps

a^{6} e^{2} a^{- 3} e^{- 1}

Apply exponent rule:

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

a^{6} a^{- 3} = a^{6 - 3}

= e^{2} a^{6 - 3} e^{- 1}

Subtract the numbers:

6 - 3 = 3

= e^{2} a^{3} e^{- 1}

Apply exponent rule:

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

e^{2} e^{- 1} = e^{2 - 1}

= a^{3} e^{2 - 1}

Subtract the numbers:

2 - 1 = 1

= a^{3} e

e^{c} \cdot e^{x}

589.1 \cdot 1 0^{- 4}

3 x^{5} y^{3} (4 x y^{7})

e e^{e}

(2 x) (2 x^{3})