What is 10e^{-2t}(10e^{-2t}) ?

The solution to 10e^{-2t}(10e^{-2t}) is 100e^{-4t}

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simplify 10e^{-2t}(10e^{-2t})

simplify

10 e^{- 2 t} (10 e^{- 2 t})

100 e^{- 4 t}

Solution steps

10 e^{- 2 t} (10 e^{- 2 t})

Apply exponent rule:

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

10 \cdot 10 = 1 0^{1 + 1}

= e^{- 2 t} \cdot 1 0^{1 + 1} e^{- 2 t}

Add the numbers:

1 + 1 = 2

= e^{- 2 t} \cdot 1 0^{2} e^{- 2 t}

Apply exponent rule:

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

e^{- 2 t} e^{- 2 t} = e^{- 2 t - 2 t}

= 1 0^{2} e^{- 2 t - 2 t}

Add similar elements:

- 2 t - 2 t = - 4 t

= 1 0^{2} e^{- 4 t}

1 0^{2} = 100

= 100 e^{- 4 t}

122 y^{4} x^{3} y

6.45 \cdot 1 0^{- 5}

(6.66 \cdot 1 0^{- 4}) (0.0025 - x)

13 \cdot 6 π

9.1 \cdot 1 0^{- 25}

What is 10e^{-2t}(10e^{-2t}) ?
The solution to 10e^{-2t}(10e^{-2t}) is 100e^{-4t}